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Finding the Fourth Proportional to 125,181.77, 187,773.46 and 31,687.52

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Solution

The fourth proportional to 125,181.77, 187,773.46 and 31,687.52 is: 47,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,181.77 : 187,773.46 = 31,687.52 : x
  2. Step 2: Convert to fraction form
    125,181.77/187,773.46 = 31,687.52/x
  3. Step 3: Cross multiply
    125,181.77x = 187,773.46 × 31,687.52
  4. Step 4: Simplify right side
    125,181.77x = 5,950,074,251.13
  5. Step 5: Solve for x
    x = 5,950,074,251.13/125,181.77
  6. Step 6: Final answer
    x = 47,531.48

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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.