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Finding the Fourth Proportional to 54,691.90, 75,474.82 and 29,541.40

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Solution

The fourth proportional to 54,691.90, 75,474.82 and 29,541.40 is: 40,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,691.90 : 75,474.82 = 29,541.40 : x
  2. Step 2: Convert to fraction form
    54,691.90/75,474.82 = 29,541.40/x
  3. Step 3: Cross multiply
    54,691.90x = 75,474.82 × 29,541.40
  4. Step 4: Simplify right side
    54,691.90x = 2,229,631,847.55
  5. Step 5: Solve for x
    x = 2,229,631,847.55/54,691.90
  6. Step 6: Final answer
    x = 40,767.13

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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.