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Finding the Fourth Proportional to 31,990.50, 47,985.89 and 9,802.17

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Solution

The fourth proportional to 31,990.50, 47,985.89 and 9,802.17 is: 14,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,990.50 : 47,985.89 = 9,802.17 : x
  2. Step 2: Convert to fraction form
    31,990.50/47,985.89 = 9,802.17/x
  3. Step 3: Cross multiply
    31,990.50x = 47,985.89 × 9,802.17
  4. Step 4: Simplify right side
    31,990.50x = 470,365,802.37
  5. Step 5: Solve for x
    x = 470,365,802.37/31,990.50
  6. Step 6: Final answer
    x = 14,703.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.