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Finding the Fourth Proportional to 71,662.86, 107,541.11 and 27,290.04

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Solution

The fourth proportional to 71,662.86, 107,541.11 and 27,290.04 is: 40,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662.86 : 107,541.11 = 27,290.04 : x
  2. Step 2: Convert to fraction form
    71,662.86/107,541.11 = 27,290.04/x
  3. Step 3: Cross multiply
    71,662.86x = 107,541.11 × 27,290.04
  4. Step 4: Simplify right side
    71,662.86x = 2,934,801,057.09
  5. Step 5: Solve for x
    x = 2,934,801,057.09/71,662.86
  6. Step 6: Final answer
    x = 40,952.89

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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.