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Finding the Fourth Proportional to 71,701.86, 107,550.36 and 27,327

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Solution

The fourth proportional to 71,701.86, 107,550.36 and 27,327 is: 40,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,701.86 : 107,550.36 = 27,327 : x
  2. Step 2: Convert to fraction form
    71,701.86/107,550.36 = 27,327/x
  3. Step 3: Cross multiply
    71,701.86x = 107,550.36 × 27,327
  4. Step 4: Simplify right side
    71,701.86x = 2,939,028,687.72
  5. Step 5: Solve for x
    x = 2,939,028,687.72/71,701.86
  6. Step 6: Final answer
    x = 40,989.57

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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.