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Finding the Fourth Proportional to 54,843.75, 82,266.08 and 13,290.75

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Solution

The fourth proportional to 54,843.75, 82,266.08 and 13,290.75 is: 19,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.75 : 82,266.08 = 13,290.75 : x
  2. Step 2: Convert to fraction form
    54,843.75/82,266.08 = 13,290.75/x
  3. Step 3: Cross multiply
    54,843.75x = 82,266.08 × 13,290.75
  4. Step 4: Simplify right side
    54,843.75x = 1,093,377,836.31
  5. Step 5: Solve for x
    x = 1,093,377,836.31/54,843.75
  6. Step 6: Final answer
    x = 19,936.23

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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.