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Finding the Fourth Proportional to 41,706.30, 62,569.17 and 12,124.70

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Solution

The fourth proportional to 41,706.30, 62,569.17 and 12,124.70 is: 18,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.30 : 62,569.17 = 12,124.70 : x
  2. Step 2: Convert to fraction form
    41,706.30/62,569.17 = 12,124.70/x
  3. Step 3: Cross multiply
    41,706.30x = 62,569.17 × 12,124.70
  4. Step 4: Simplify right side
    41,706.30x = 758,632,415.50
  5. Step 5: Solve for x
    x = 758,632,415.50/41,706.30
  6. Step 6: Final answer
    x = 18,189.88

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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.