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Finding the Fourth Proportional to 31,092.48, 46,637.76 and 12,624

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Solution

The fourth proportional to 31,092.48, 46,637.76 and 12,624 is: 18,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,092.48 : 46,637.76 = 12,624 : x
  2. Step 2: Convert to fraction form
    31,092.48/46,637.76 = 12,624/x
  3. Step 3: Cross multiply
    31,092.48x = 46,637.76 × 12,624
  4. Step 4: Simplify right side
    31,092.48x = 588,755,082.24
  5. Step 5: Solve for x
    x = 588,755,082.24/31,092.48
  6. Step 6: Final answer
    x = 18,935.61

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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.