Sam Ross owes $$54,000$ on a $6\%,100-$day note. On day $60,$ he pays $$16,200$ on the note. On day $80,$ he pays an additional $$27,000.$

Based on the U$.$S$.$ Rule, calculate the following. $($Use a $360-$day year, and round all answers to the nearest cent.$)$

Adjusted balance after the first payment:

Adjusted balance after the second payment:

Balance at maturity: