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Finding the Fourth Proportional to 87,297.24, 131,003.28 and 47,882

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Solution

The fourth proportional to 87,297.24, 131,003.28 and 47,882 is: 71,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.24 : 131,003.28 = 47,882 : x
  2. Step 2: Convert to fraction form
    87,297.24/131,003.28 = 47,882/x
  3. Step 3: Cross multiply
    87,297.24x = 131,003.28 × 47,882
  4. Step 4: Simplify right side
    87,297.24x = 6,272,699,052.96
  5. Step 5: Solve for x
    x = 6,272,699,052.96/87,297.24
  6. Step 6: Final answer
    x = 71,854.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.