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Finding the Fourth Proportional to 38,107, 57,158.28 and 11,452.44

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Solution

The fourth proportional to 38,107, 57,158.28 and 11,452.44 is: 17,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,107 : 57,158.28 = 11,452.44 : x
  2. Step 2: Convert to fraction form
    38,107/57,158.28 = 11,452.44/x
  3. Step 3: Cross multiply
    38,107x = 57,158.28 × 11,452.44
  4. Step 4: Simplify right side
    38,107x = 654,601,772.20
  5. Step 5: Solve for x
    x = 654,601,772.20/38,107
  6. Step 6: Final answer
    x = 17,177.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.