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Finding the Fourth Proportional to 91,876.20, 137,781.90 and 32,713.80

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Solution

The fourth proportional to 91,876.20, 137,781.90 and 32,713.80 is: 49,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,876.20 : 137,781.90 = 32,713.80 : x
  2. Step 2: Convert to fraction form
    91,876.20/137,781.90 = 32,713.80/x
  3. Step 3: Cross multiply
    91,876.20x = 137,781.90 × 32,713.80
  4. Step 4: Simplify right side
    91,876.20x = 4,507,369,520.22
  5. Step 5: Solve for x
    x = 4,507,369,520.22/91,876.20
  6. Step 6: Final answer
    x = 49,059.16

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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.