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Finding the Fourth Proportional to 132,046.38, 198,072 and 32,206.86

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Solution

The fourth proportional to 132,046.38, 198,072 and 32,206.86 is: 48,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,046.38 : 198,072 = 32,206.86 : x
  2. Step 2: Convert to fraction form
    132,046.38/198,072 = 32,206.86/x
  3. Step 3: Cross multiply
    132,046.38x = 198,072 × 32,206.86
  4. Step 4: Simplify right side
    132,046.38x = 6,379,277,173.92
  5. Step 5: Solve for x
    x = 6,379,277,173.92/132,046.38
  6. Step 6: Final answer
    x = 48,310.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.