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Finding the Fourth Proportional to 42,502.50, 63,753.72 and 20,248.44

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Solution

The fourth proportional to 42,502.50, 63,753.72 and 20,248.44 is: 30,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,502.50 : 63,753.72 = 20,248.44 : x
  2. Step 2: Convert to fraction form
    42,502.50/63,753.72 = 20,248.44/x
  3. Step 3: Cross multiply
    42,502.50x = 63,753.72 × 20,248.44
  4. Step 4: Simplify right side
    42,502.50x = 1,290,913,374.20
  5. Step 5: Solve for x
    x = 1,290,913,374.20/42,502.50
  6. Step 6: Final answer
    x = 30,372.65

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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.