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Finding the Fourth Proportional to 59,503.82, 82,121.85 and 38,013.30

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Solution

The fourth proportional to 59,503.82, 82,121.85 and 38,013.30 is: 52,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,503.82 : 82,121.85 = 38,013.30 : x
  2. Step 2: Convert to fraction form
    59,503.82/82,121.85 = 38,013.30/x
  3. Step 3: Cross multiply
    59,503.82x = 82,121.85 × 38,013.30
  4. Step 4: Simplify right side
    59,503.82x = 3,121,722,520.61
  5. Step 5: Solve for x
    x = 3,121,722,520.61/59,503.82
  6. Step 6: Final answer
    x = 52,462.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.