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Finding the Fourth Proportional to 68,217.96, 102,137.96 and 34,866.20

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Solution

The fourth proportional to 68,217.96, 102,137.96 and 34,866.20 is: 52,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,217.96 : 102,137.96 = 34,866.20 : x
  2. Step 2: Convert to fraction form
    68,217.96/102,137.96 = 34,866.20/x
  3. Step 3: Cross multiply
    68,217.96x = 102,137.96 × 34,866.20
  4. Step 4: Simplify right side
    68,217.96x = 3,561,162,540.95
  5. Step 5: Solve for x
    x = 3,561,162,540.95/68,217.96
  6. Step 6: Final answer
    x = 52,202.71

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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.