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Finding the Fourth Proportional to 71,536.96, 107,304.18 and 24,789.16

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Solution

The fourth proportional to 71,536.96, 107,304.18 and 24,789.16 is: 37,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,536.96 : 107,304.18 = 24,789.16 : x
  2. Step 2: Convert to fraction form
    71,536.96/107,304.18 = 24,789.16/x
  3. Step 3: Cross multiply
    71,536.96x = 107,304.18 × 24,789.16
  4. Step 4: Simplify right side
    71,536.96x = 2,659,980,486.69
  5. Step 5: Solve for x
    x = 2,659,980,486.69/71,536.96
  6. Step 6: Final answer
    x = 37,183.30

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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.