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Finding the Fourth Proportional to 132,285.58, 198,428.91 and 32,446.42

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Solution

The fourth proportional to 132,285.58, 198,428.91 and 32,446.42 is: 48,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,285.58 : 198,428.91 = 32,446.42 : x
  2. Step 2: Convert to fraction form
    132,285.58/198,428.91 = 32,446.42/x
  3. Step 3: Cross multiply
    132,285.58x = 198,428.91 × 32,446.42
  4. Step 4: Simplify right side
    132,285.58x = 6,438,307,754.00
  5. Step 5: Solve for x
    x = 6,438,307,754.00/132,285.58
  6. Step 6: Final answer
    x = 48,669.76

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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.