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Finding the Fourth Proportional to 91,542.60, 137,372.22 and 38,952

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Solution

The fourth proportional to 91,542.60, 137,372.22 and 38,952 is: 58,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,542.60 : 137,372.22 = 38,952 : x
  2. Step 2: Convert to fraction form
    91,542.60/137,372.22 = 38,952/x
  3. Step 3: Cross multiply
    91,542.60x = 137,372.22 × 38,952
  4. Step 4: Simplify right side
    91,542.60x = 5,350,922,713.44
  5. Step 5: Solve for x
    x = 5,350,922,713.44/91,542.60
  6. Step 6: Final answer
    x = 58,452.82

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Why These Related Problems?

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