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Finding the Fourth Proportional to 132,035.62, 198,068.80 and 47,835.42

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Solution

The fourth proportional to 132,035.62, 198,068.80 and 47,835.42 is: 71,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,035.62 : 198,068.80 = 47,835.42 : x
  2. Step 2: Convert to fraction form
    132,035.62/198,068.80 = 47,835.42/x
  3. Step 3: Cross multiply
    132,035.62x = 198,068.80 × 47,835.42
  4. Step 4: Simplify right side
    132,035.62x = 9,474,704,236.90
  5. Step 5: Solve for x
    x = 9,474,704,236.90/132,035.62
  6. Step 6: Final answer
    x = 71,758.70

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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.