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Finding the Fourth Proportional to 71,202.56, 106,815.68 and 29,105.24

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Solution

The fourth proportional to 71,202.56, 106,815.68 and 29,105.24 is: 43,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.56 : 106,815.68 = 29,105.24 : x
  2. Step 2: Convert to fraction form
    71,202.56/106,815.68 = 29,105.24/x
  3. Step 3: Cross multiply
    71,202.56x = 106,815.68 × 29,105.24
  4. Step 4: Simplify right side
    71,202.56x = 3,108,895,431.70
  5. Step 5: Solve for x
    x = 3,108,895,431.70/71,202.56
  6. Step 6: Final answer
    x = 43,662.69

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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.