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Finding the Fourth Proportional to 31,402.80, 47,053.80 and 16,592.40

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Solution

The fourth proportional to 31,402.80, 47,053.80 and 16,592.40 is: 24,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.80 : 47,053.80 = 16,592.40 : x
  2. Step 2: Convert to fraction form
    31,402.80/47,053.80 = 16,592.40/x
  3. Step 3: Cross multiply
    31,402.80x = 47,053.80 × 16,592.40
  4. Step 4: Simplify right side
    31,402.80x = 780,735,471.12
  5. Step 5: Solve for x
    x = 780,735,471.12/31,402.80
  6. Step 6: Final answer
    x = 24,861.97

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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.