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Finding the Fourth Proportional to 71,723.56, 107,599.92 and 24,980.08

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Solution

The fourth proportional to 71,723.56, 107,599.92 and 24,980.08 is: 37,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.56 : 107,599.92 = 24,980.08 : x
  2. Step 2: Convert to fraction form
    71,723.56/107,599.92 = 24,980.08/x
  3. Step 3: Cross multiply
    71,723.56x = 107,599.92 × 24,980.08
  4. Step 4: Simplify right side
    71,723.56x = 2,687,854,609.59
  5. Step 5: Solve for x
    x = 2,687,854,609.59/71,723.56
  6. Step 6: Final answer
    x = 37,475.20

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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.