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Finding the Fourth Proportional to 125,805.73, 188,708.60 and 32,311.57

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Solution

The fourth proportional to 125,805.73, 188,708.60 and 32,311.57 is: 48,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,805.73 : 188,708.60 = 32,311.57 : x
  2. Step 2: Convert to fraction form
    125,805.73/188,708.60 = 32,311.57/x
  3. Step 3: Cross multiply
    125,805.73x = 188,708.60 × 32,311.57
  4. Step 4: Simplify right side
    125,805.73x = 6,097,471,138.50
  5. Step 5: Solve for x
    x = 6,097,471,138.50/125,805.73
  6. Step 6: Final answer
    x = 48,467.36

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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.