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Finding the Fourth Proportional to 125,659.62, 188,489.31 and 32,165.22

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Solution

The fourth proportional to 125,659.62, 188,489.31 and 32,165.22 is: 48,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,659.62 : 188,489.31 = 32,165.22 : x
  2. Step 2: Convert to fraction form
    125,659.62/188,489.31 = 32,165.22/x
  3. Step 3: Cross multiply
    125,659.62x = 188,489.31 × 32,165.22
  4. Step 4: Simplify right side
    125,659.62x = 6,062,800,123.80
  5. Step 5: Solve for x
    x = 6,062,800,123.80/125,659.62
  6. Step 6: Final answer
    x = 48,247.80

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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.