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Finding the Fourth Proportional to 71,766.82, 107,657.56 and 27,430.88

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Solution

The fourth proportional to 71,766.82, 107,657.56 and 27,430.88 is: 41,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.82 : 107,657.56 = 27,430.88 : x
  2. Step 2: Convert to fraction form
    71,766.82/107,657.56 = 27,430.88/x
  3. Step 3: Cross multiply
    71,766.82x = 107,657.56 × 27,430.88
  4. Step 4: Simplify right side
    71,766.82x = 2,953,141,609.45
  5. Step 5: Solve for x
    x = 2,953,141,609.45/71,766.82
  6. Step 6: Final answer
    x = 41,149.12

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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.