Your cousin is currently $8$ years old. She will be going to college in $10$ years. Your aunt and uncle would like to have $$100,000$ in a savings account to fund her education at that time. If the account promises to pay a fixed interest rate of $4\mathrm{.}1\%$ per year, how much money do they need to put into the account today to ensure that they will have $$100,000$ in $10$ years?

The amount they need to put away today is $ $($Round to the nearest cent.$)$