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Finding the Fourth Proportional to 125,662.25, 188,493.25 and 32,167.85

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Solution

The fourth proportional to 125,662.25, 188,493.25 and 32,167.85 is: 48,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,662.25 : 188,493.25 = 32,167.85 : x
  2. Step 2: Convert to fraction form
    125,662.25/188,493.25 = 32,167.85/x
  3. Step 3: Cross multiply
    125,662.25x = 188,493.25 × 32,167.85
  4. Step 4: Simplify right side
    125,662.25x = 6,063,422,592.01
  5. Step 5: Solve for x
    x = 6,063,422,592.01/125,662.25
  6. Step 6: Final answer
    x = 48,251.74

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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.