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Finding the Fourth Proportional to 91,474.80, 137,212.20 and 32,377.20

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Solution

The fourth proportional to 91,474.80, 137,212.20 and 32,377.20 is: 48,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,474.80 : 137,212.20 = 32,377.20 : x
  2. Step 2: Convert to fraction form
    91,474.80/137,212.20 = 32,377.20/x
  3. Step 3: Cross multiply
    91,474.80x = 137,212.20 × 32,377.20
  4. Step 4: Simplify right side
    91,474.80x = 4,442,546,841.84
  5. Step 5: Solve for x
    x = 4,442,546,841.84/91,474.80
  6. Step 6: Final answer
    x = 48,565.80

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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.