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Finding the Fourth Proportional to 31,691.40, 43,732.14 and 18,598.20

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Solution

The fourth proportional to 31,691.40, 43,732.14 and 18,598.20 is: 25,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,691.40 : 43,732.14 = 18,598.20 : x
  2. Step 2: Convert to fraction form
    31,691.40/43,732.14 = 18,598.20/x
  3. Step 3: Cross multiply
    31,691.40x = 43,732.14 × 18,598.20
  4. Step 4: Simplify right side
    31,691.40x = 813,339,086.15
  5. Step 5: Solve for x
    x = 813,339,086.15/31,691.40
  6. Step 6: Final answer
    x = 25,664.35

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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.