May's Dress Shop's inventory at cost on January $1$ was $$46,000.$ Its retail value was $$66,000.$During the year, May purchased additional merchandise at a cost of $$196,400$ with a retail value of $$396,400.$ The net sales at retail for the year were $$355,000.$

Calculate May's inventory at cost by the retail method.

Note: Round the "cost ratio" to the nearest whole percent