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Finding the Fourth Proportional to 31,839.36, 43,938 and 17,691.90

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Solution

The fourth proportional to 31,839.36, 43,938 and 17,691.90 is: 24,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.36 : 43,938 = 17,691.90 : x
  2. Step 2: Convert to fraction form
    31,839.36/43,938 = 17,691.90/x
  3. Step 3: Cross multiply
    31,839.36x = 43,938 × 17,691.90
  4. Step 4: Simplify right side
    31,839.36x = 777,346,702.20
  5. Step 5: Solve for x
    x = 777,346,702.20/31,839.36
  6. Step 6: Final answer
    x = 24,414.65

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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.