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Finding the Fourth Proportional to 68,149.54, 102,191.97 and 23,770.90

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Solution

The fourth proportional to 68,149.54, 102,191.97 and 23,770.90 is: 35,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,149.54 : 102,191.97 = 23,770.90 : x
  2. Step 2: Convert to fraction form
    68,149.54/102,191.97 = 23,770.90/x
  3. Step 3: Cross multiply
    68,149.54x = 102,191.97 × 23,770.90
  4. Step 4: Simplify right side
    68,149.54x = 2,429,195,099.67
  5. Step 5: Solve for x
    x = 2,429,195,099.67/68,149.54
  6. Step 6: Final answer
    x = 35,645.07

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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.