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Finding the Fourth Proportional to 31,837.68, 43,937.16 and 17,691.92

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Solution

The fourth proportional to 31,837.68, 43,937.16 and 17,691.92 is: 24,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.68 : 43,937.16 = 17,691.92 : x
  2. Step 2: Convert to fraction form
    31,837.68/43,937.16 = 17,691.92/x
  3. Step 3: Cross multiply
    31,837.68x = 43,937.16 × 17,691.92
  4. Step 4: Simplify right side
    31,837.68x = 777,332,719.75
  5. Step 5: Solve for x
    x = 777,332,719.75/31,837.68
  6. Step 6: Final answer
    x = 24,415.50

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