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Finding the Fourth Proportional to 71,209.92, 106,834.40 and 24,466.56

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Solution

The fourth proportional to 71,209.92, 106,834.40 and 24,466.56 is: 36,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,209.92 : 106,834.40 = 24,466.56 : x
  2. Step 2: Convert to fraction form
    71,209.92/106,834.40 = 24,466.56/x
  3. Step 3: Cross multiply
    71,209.92x = 106,834.40 × 24,466.56
  4. Step 4: Simplify right side
    71,209.92x = 2,613,870,257.66
  5. Step 5: Solve for x
    x = 2,613,870,257.66/71,209.92
  6. Step 6: Final answer
    x = 36,706.55

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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.