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Finding the Fourth Proportional to 69,865.68, 96,414.24 and 38,035.20

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Solution

The fourth proportional to 69,865.68, 96,414.24 and 38,035.20 is: 52,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,865.68 : 96,414.24 = 38,035.20 : x
  2. Step 2: Convert to fraction form
    69,865.68/96,414.24 = 38,035.20/x
  3. Step 3: Cross multiply
    69,865.68x = 96,414.24 × 38,035.20
  4. Step 4: Simplify right side
    69,865.68x = 3,667,134,901.25
  5. Step 5: Solve for x
    x = 3,667,134,901.25/69,865.68
  6. Step 6: Final answer
    x = 52,488.36

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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.