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Finding the Fourth Proportional to 54,446.44, 75,144.24 and 33,238

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Solution

The fourth proportional to 54,446.44, 75,144.24 and 33,238 is: 45,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,446.44 : 75,144.24 = 33,238 : x
  2. Step 2: Convert to fraction form
    54,446.44/75,144.24 = 33,238/x
  3. Step 3: Cross multiply
    54,446.44x = 75,144.24 × 33,238
  4. Step 4: Simplify right side
    54,446.44x = 2,497,644,249.12
  5. Step 5: Solve for x
    x = 2,497,644,249.12/54,446.44
  6. Step 6: Final answer
    x = 45,873.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.