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Finding the Fourth Proportional to 71,212.56, 106,789.08 and 24,469.20

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Solution

The fourth proportional to 71,212.56, 106,789.08 and 24,469.20 is: 36,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.56 : 106,789.08 = 24,469.20 : x
  2. Step 2: Convert to fraction form
    71,212.56/106,789.08 = 24,469.20/x
  3. Step 3: Cross multiply
    71,212.56x = 106,789.08 × 24,469.20
  4. Step 4: Simplify right side
    71,212.56x = 2,613,043,356.34
  5. Step 5: Solve for x
    x = 2,613,043,356.34/71,212.56
  6. Step 6: Final answer
    x = 36,693.57

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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.