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Finding the Fourth Proportional to 91,877.20, 137,742.90 and 50,324.20

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Solution

The fourth proportional to 91,877.20, 137,742.90 and 50,324.20 is: 75,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,877.20 : 137,742.90 = 50,324.20 : x
  2. Step 2: Convert to fraction form
    91,877.20/137,742.90 = 50,324.20/x
  3. Step 3: Cross multiply
    91,877.20x = 137,742.90 × 50,324.20
  4. Step 4: Simplify right side
    91,877.20x = 6,931,801,248.18
  5. Step 5: Solve for x
    x = 6,931,801,248.18/91,877.20
  6. Step 6: Final answer
    x = 75,446.37

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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.