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Finding the Fourth Proportional to 68,471.10, 102,706.65 and 24,147.90

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Solution

The fourth proportional to 68,471.10, 102,706.65 and 24,147.90 is: 36,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,471.10 : 102,706.65 = 24,147.90 : x
  2. Step 2: Convert to fraction form
    68,471.10/102,706.65 = 24,147.90/x
  3. Step 3: Cross multiply
    68,471.10x = 102,706.65 × 24,147.90
  4. Step 4: Simplify right side
    68,471.10x = 2,480,149,913.54
  5. Step 5: Solve for x
    x = 2,480,149,913.54/68,471.10
  6. Step 6: Final answer
    x = 36,221.85

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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.