A client$$s child will be attending college in $5$ years. Assume current tuition and fees are $$51,090,$ and inflation for college costs averages $3\mathrm{.}51$ percent. She can earn $5\mathrm{.}89$ percent on the money she invests for this purpose. The client wants to know how much she will need to set aside today to pay the first year$$s tuition and fees.