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Finding the Fourth Proportional to 42,505.50, 63,758.22 and 20,251.44

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Solution

The fourth proportional to 42,505.50, 63,758.22 and 20,251.44 is: 30,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,505.50 : 63,758.22 = 20,251.44 : x
  2. Step 2: Convert to fraction form
    42,505.50/63,758.22 = 20,251.44/x
  3. Step 3: Cross multiply
    42,505.50x = 63,758.22 × 20,251.44
  4. Step 4: Simplify right side
    42,505.50x = 1,291,195,766.84
  5. Step 5: Solve for x
    x = 1,291,195,766.84/42,505.50
  6. Step 6: Final answer
    x = 30,377.15

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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.