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Finding the Fourth Proportional to 31,540.70, 47,312.13 and 10,761.50

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Solution

The fourth proportional to 31,540.70, 47,312.13 and 10,761.50 is: 16,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,540.70 : 47,312.13 = 10,761.50 : x
  2. Step 2: Convert to fraction form
    31,540.70/47,312.13 = 10,761.50/x
  3. Step 3: Cross multiply
    31,540.70x = 47,312.13 × 10,761.50
  4. Step 4: Simplify right side
    31,540.70x = 509,149,487.00
  5. Step 5: Solve for x
    x = 509,149,487.00/31,540.70
  6. Step 6: Final answer
    x = 16,142.62

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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.