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Finding the Fourth Proportional to 54,381.38, 75,046.32 and 33,165.05

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Solution

The fourth proportional to 54,381.38, 75,046.32 and 33,165.05 is: 45,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381.38 : 75,046.32 = 33,165.05 : x
  2. Step 2: Convert to fraction form
    54,381.38/75,046.32 = 33,165.05/x
  3. Step 3: Cross multiply
    54,381.38x = 75,046.32 × 33,165.05
  4. Step 4: Simplify right side
    54,381.38x = 2,488,914,579.88
  5. Step 5: Solve for x
    x = 2,488,914,579.88/54,381.38
  6. Step 6: Final answer
    x = 45,767.78

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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.