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Finding the Fourth Proportional to 91,387.71, 137,092.50 and 32,211.14

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Solution

The fourth proportional to 91,387.71, 137,092.50 and 32,211.14 is: 48,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,387.71 : 137,092.50 = 32,211.14 : x
  2. Step 2: Convert to fraction form
    91,387.71/137,092.50 = 32,211.14/x
  3. Step 3: Cross multiply
    91,387.71x = 137,092.50 × 32,211.14
  4. Step 4: Simplify right side
    91,387.71x = 4,415,905,024.99
  5. Step 5: Solve for x
    x = 4,415,905,024.99/91,387.71
  6. Step 6: Final answer
    x = 48,320.56

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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.