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Finding the Fourth Proportional to 73,115.87, 109,687.43 and 23,182.54

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Solution

The fourth proportional to 73,115.87, 109,687.43 and 23,182.54 is: 34,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,115.87 : 109,687.43 = 23,182.54 : x
  2. Step 2: Convert to fraction form
    73,115.87/109,687.43 = 23,182.54/x
  3. Step 3: Cross multiply
    73,115.87x = 109,687.43 × 23,182.54
  4. Step 4: Simplify right side
    73,115.87x = 2,542,833,017.21
  5. Step 5: Solve for x
    x = 2,542,833,017.21/73,115.87
  6. Step 6: Final answer
    x = 34,778.13

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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.