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Finding the Fourth Proportional to 68,138.57, 102,224.87 and 23,765.96

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Solution

The fourth proportional to 68,138.57, 102,224.87 and 23,765.96 is: 35,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.57 : 102,224.87 = 23,765.96 : x
  2. Step 2: Convert to fraction form
    68,138.57/102,224.87 = 23,765.96/x
  3. Step 3: Cross multiply
    68,138.57x = 102,224.87 × 23,765.96
  4. Step 4: Simplify right side
    68,138.57x = 2,429,472,052.60
  5. Step 5: Solve for x
    x = 2,429,472,052.60/68,138.57
  6. Step 6: Final answer
    x = 35,654.87

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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.