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Finding the Fourth Proportional to 71,765.32, 107,655.32 and 27,429.39

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Solution

The fourth proportional to 71,765.32, 107,655.32 and 27,429.39 is: 41,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,765.32 : 107,655.32 = 27,429.39 : x
  2. Step 2: Convert to fraction form
    71,765.32/107,655.32 = 27,429.39/x
  3. Step 3: Cross multiply
    71,765.32x = 107,655.32 × 27,429.39
  4. Step 4: Simplify right side
    71,765.32x = 2,952,919,757.85
  5. Step 5: Solve for x
    x = 2,952,919,757.85/71,765.32
  6. Step 6: Final answer
    x = 41,146.89

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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.