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Finding the Fourth Proportional to 125,631.80, 188,447.70 and 32,132.60

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Solution

The fourth proportional to 125,631.80, 188,447.70 and 32,132.60 is: 48,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,631.80 : 188,447.70 = 32,132.60 : x
  2. Step 2: Convert to fraction form
    125,631.80/188,447.70 = 32,132.60/x
  3. Step 3: Cross multiply
    125,631.80x = 188,447.70 × 32,132.60
  4. Step 4: Simplify right side
    125,631.80x = 6,055,314,565.02
  5. Step 5: Solve for x
    x = 6,055,314,565.02/125,631.80
  6. Step 6: Final answer
    x = 48,198.90

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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.