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Finding the Fourth Proportional to 54,449.44, 75,148.38 and 33,241

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Solution

The fourth proportional to 54,449.44, 75,148.38 and 33,241 is: 45,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,449.44 : 75,148.38 = 33,241 : x
  2. Step 2: Convert to fraction form
    54,449.44/75,148.38 = 33,241/x
  3. Step 3: Cross multiply
    54,449.44x = 75,148.38 × 33,241
  4. Step 4: Simplify right side
    54,449.44x = 2,498,007,299.58
  5. Step 5: Solve for x
    x = 2,498,007,299.58/54,449.44
  6. Step 6: Final answer
    x = 45,877.56

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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.