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Finding the Fourth Proportional to 54,872.98, 82,308.31 and 25,290.82

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Solution

The fourth proportional to 54,872.98, 82,308.31 and 25,290.82 is: 37,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.98 : 82,308.31 = 25,290.82 : x
  2. Step 2: Convert to fraction form
    54,872.98/82,308.31 = 25,290.82/x
  3. Step 3: Cross multiply
    54,872.98x = 82,308.31 × 25,290.82
  4. Step 4: Simplify right side
    54,872.98x = 2,081,644,114.72
  5. Step 5: Solve for x
    x = 2,081,644,114.72/54,872.98
  6. Step 6: Final answer
    x = 37,935.69

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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.