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Finding the Fourth Proportional to 32,097.57, 44,296.17 and 17,757.33

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Solution

The fourth proportional to 32,097.57, 44,296.17 and 17,757.33 is: 24,505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.57 : 44,296.17 = 17,757.33 : x
  2. Step 2: Convert to fraction form
    32,097.57/44,296.17 = 17,757.33/x
  3. Step 3: Cross multiply
    32,097.57x = 44,296.17 × 17,757.33
  4. Step 4: Simplify right side
    32,097.57x = 786,581,475.73
  5. Step 5: Solve for x
    x = 786,581,475.73/32,097.57
  6. Step 6: Final answer
    x = 24,505.95

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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.