Norris, Madson, and Howell have income ratios of $5: 3: 2$ and capital balances of $$\$ 34,000 $$, $$\$ 31,000 $$, and $$\$ 28,000$$, respectively. Noncash assets are sold at a gain and allocated to the partners. After creditors are paid, $$\$ 103,000$$ of cash is available for distribution to the partners. How much cash should be paid to Madson?