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Finding the Fourth Proportional to 71,663.86, 107,542.61 and 27,291.04

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Solution

The fourth proportional to 71,663.86, 107,542.61 and 27,291.04 is: 40,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,663.86 : 107,542.61 = 27,291.04 : x
  2. Step 2: Convert to fraction form
    71,663.86/107,542.61 = 27,291.04/x
  3. Step 3: Cross multiply
    71,663.86x = 107,542.61 × 27,291.04
  4. Step 4: Simplify right side
    71,663.86x = 2,934,949,671.21
  5. Step 5: Solve for x
    x = 2,934,949,671.21/71,663.86
  6. Step 6: Final answer
    x = 40,954.39

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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.