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Finding the Fourth Proportional to 74,542.87, 111,814.92 and 27,191.89

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Solution

The fourth proportional to 74,542.87, 111,814.92 and 27,191.89 is: 40,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,542.87 : 111,814.92 = 27,191.89 : x
  2. Step 2: Convert to fraction form
    74,542.87/111,814.92 = 27,191.89/x
  3. Step 3: Cross multiply
    74,542.87x = 111,814.92 × 27,191.89
  4. Step 4: Simplify right side
    74,542.87x = 3,040,459,144.77
  5. Step 5: Solve for x
    x = 3,040,459,144.77/74,542.87
  6. Step 6: Final answer
    x = 40,788.06

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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.