A company has forecasted sales of $$50,000$ in January, $$40,000$ in February, and $$60,000$ in March. All sales are on credit with $50\%$ collected in the month of the sale, $30\%$ collected in the month following the sale, and the remaining amount collected in the second month after the sale. After collections are made in the month of March, what will the accounts receivable balance be$?$

$$59,000$

$$21,000$

$$47,000$

$$38,000$