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Finding the Fourth Proportional to 80,974.92, 121,466.10 and 24,811

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Solution

The fourth proportional to 80,974.92, 121,466.10 and 24,811 is: 37,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,974.92 : 121,466.10 = 24,811 : x
  2. Step 2: Convert to fraction form
    80,974.92/121,466.10 = 24,811/x
  3. Step 3: Cross multiply
    80,974.92x = 121,466.10 × 24,811
  4. Step 4: Simplify right side
    80,974.92x = 3,013,695,407.10
  5. Step 5: Solve for x
    x = 3,013,695,407.10/80,974.92
  6. Step 6: Final answer
    x = 37,217.64

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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.