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Finding the Fourth Proportional to 54,442.56, 81,696.96 and 24,874.56

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Solution

The fourth proportional to 54,442.56, 81,696.96 and 24,874.56 is: 37,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,442.56 : 81,696.96 = 24,874.56 : x
  2. Step 2: Convert to fraction form
    54,442.56/81,696.96 = 24,874.56/x
  3. Step 3: Cross multiply
    54,442.56x = 81,696.96 × 24,874.56
  4. Step 4: Simplify right side
    54,442.56x = 2,032,175,933.34
  5. Step 5: Solve for x
    x = 2,032,175,933.34/54,442.56
  6. Step 6: Final answer
    x = 37,326.97

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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.