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Finding the Fourth Proportional to 80,472.62, 120,661.86 and 24,295.88

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Solution

The fourth proportional to 80,472.62, 120,661.86 and 24,295.88 is: 36,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472.62 : 120,661.86 = 24,295.88 : x
  2. Step 2: Convert to fraction form
    80,472.62/120,661.86 = 24,295.88/x
  3. Step 3: Cross multiply
    80,472.62x = 120,661.86 × 24,295.88
  4. Step 4: Simplify right side
    80,472.62x = 2,931,586,071.14
  5. Step 5: Solve for x
    x = 2,931,586,071.14/80,472.62
  6. Step 6: Final answer
    x = 36,429.61

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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.