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Finding the Fourth Proportional to 73,144.87, 109,732.34 and 33,144.64

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Solution

The fourth proportional to 73,144.87, 109,732.34 and 33,144.64 is: 49,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,144.87 : 109,732.34 = 33,144.64 : x
  2. Step 2: Convert to fraction form
    73,144.87/109,732.34 = 33,144.64/x
  3. Step 3: Cross multiply
    73,144.87x = 109,732.34 × 33,144.64
  4. Step 4: Simplify right side
    73,144.87x = 3,637,039,125.68
  5. Step 5: Solve for x
    x = 3,637,039,125.68/73,144.87
  6. Step 6: Final answer
    x = 49,723.78

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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.