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Finding the Fourth Proportional to 68,110.86, 102,229.56 and 34,854.78

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Solution

The fourth proportional to 68,110.86, 102,229.56 and 34,854.78 is: 52,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110.86 : 102,229.56 = 34,854.78 : x
  2. Step 2: Convert to fraction form
    68,110.86/102,229.56 = 34,854.78/x
  3. Step 3: Cross multiply
    68,110.86x = 102,229.56 × 34,854.78
  4. Step 4: Simplify right side
    68,110.86x = 3,563,188,823.30
  5. Step 5: Solve for x
    x = 3,563,188,823.30/68,110.86
  6. Step 6: Final answer
    x = 52,314.55

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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.