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Finding the Fourth Proportional to 132,416.40, 198,626.76 and 32,576.88

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Solution

The fourth proportional to 132,416.40, 198,626.76 and 32,576.88 is: 48,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,416.40 : 198,626.76 = 32,576.88 : x
  2. Step 2: Convert to fraction form
    132,416.40/198,626.76 = 32,576.88/x
  3. Step 3: Cross multiply
    132,416.40x = 198,626.76 × 32,576.88
  4. Step 4: Simplify right side
    132,416.40x = 6,470,640,125.31
  5. Step 5: Solve for x
    x = 6,470,640,125.31/132,416.40
  6. Step 6: Final answer
    x = 48,865.85

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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.