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Finding the Fourth Proportional to 31,863.68, 43,972.16 and 17,717.12

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Solution

The fourth proportional to 31,863.68, 43,972.16 and 17,717.12 is: 24,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.68 : 43,972.16 = 17,717.12 : x
  2. Step 2: Convert to fraction form
    31,863.68/43,972.16 = 17,717.12/x
  3. Step 3: Cross multiply
    31,863.68x = 43,972.16 × 17,717.12
  4. Step 4: Simplify right side
    31,863.68x = 779,060,035.38
  5. Step 5: Solve for x
    x = 779,060,035.38/31,863.68
  6. Step 6: Final answer
    x = 24,449.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.