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Finding the Fourth Proportional to 54,494.92, 75,211.14 and 33,286.44

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Solution

The fourth proportional to 54,494.92, 75,211.14 and 33,286.44 is: 45,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494.92 : 75,211.14 = 33,286.44 : x
  2. Step 2: Convert to fraction form
    54,494.92/75,211.14 = 33,286.44/x
  3. Step 3: Cross multiply
    54,494.92x = 75,211.14 × 33,286.44
  4. Step 4: Simplify right side
    54,494.92x = 2,503,511,098.94
  5. Step 5: Solve for x
    x = 2,503,511,098.94/54,494.92
  6. Step 6: Final answer
    x = 45,940.27

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1.5x scale

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.