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Finding the Fourth Proportional to 68,142.60, 102,227.27 and 23,770.80

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Solution

The fourth proportional to 68,142.60, 102,227.27 and 23,770.80 is: 35,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.60 : 102,227.27 = 23,770.80 : x
  2. Step 2: Convert to fraction form
    68,142.60/102,227.27 = 23,770.80/x
  3. Step 3: Cross multiply
    68,142.60x = 102,227.27 × 23,770.80
  4. Step 4: Simplify right side
    68,142.60x = 2,430,023,359.73
  5. Step 5: Solve for x
    x = 2,430,023,359.73/68,142.60
  6. Step 6: Final answer
    x = 35,660.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.