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Finding the Fourth Proportional to 54,195.78, 74,787.92 and 29,666.42

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Solution

The fourth proportional to 54,195.78, 74,787.92 and 29,666.42 is: 40,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,195.78 : 74,787.92 = 29,666.42 : x
  2. Step 2: Convert to fraction form
    54,195.78/74,787.92 = 29,666.42/x
  3. Step 3: Cross multiply
    54,195.78x = 74,787.92 × 29,666.42
  4. Step 4: Simplify right side
    54,195.78x = 2,218,689,845.65
  5. Step 5: Solve for x
    x = 2,218,689,845.65/54,195.78
  6. Step 6: Final answer
    x = 40,938.42

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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.