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You are a government funding agency, and have received a large number of grant proposals. Each proposal has been reviewed by a panel of

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You are a government funding agency, and have received a large number of grant proposals. Each proposal has been reviewed by a panel of experts, and classified as 'meritorious' or 'non-meritorious. Only meritorious proposals can receive funding. There are 393 such proposals, and you only have enough funding to support 96 of them. You decide to hold a lottery. However, you want to ensure that at least 42 grants are awarded to proposals from public universities. Of the meritorious proposals, 109 are from public universities. You decide to give each meritorious proposal a lottery number, then take the 42 proposals from public universities with the lowest lottery numbers, then fund the remaining 54 proposals with the lowest lottery numbers. On average, how many funded proposals will be from public universities? Round your answer to the nearest whole number.

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