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Finding the Fourth Proportional to 132,080.92, 198,120.69 and 32,241.64

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Solution

The fourth proportional to 132,080.92, 198,120.69 and 32,241.64 is: 48,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,080.92 : 198,120.69 = 32,241.64 : x
  2. Step 2: Convert to fraction form
    132,080.92/198,120.69 = 32,241.64/x
  3. Step 3: Cross multiply
    132,080.92x = 198,120.69 × 32,241.64
  4. Step 4: Simplify right side
    132,080.92x = 6,387,734,972.93
  5. Step 5: Solve for x
    x = 6,387,734,972.93/132,080.92
  6. Step 6: Final answer
    x = 48,362.29

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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.