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Finding the Fourth Proportional to 54,893.70, 75,753.32 and 29,743.20

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Solution

The fourth proportional to 54,893.70, 75,753.32 and 29,743.20 is: 41,045.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,893.70 : 75,753.32 = 29,743.20 : x
  2. Step 2: Convert to fraction form
    54,893.70/75,753.32 = 29,743.20/x
  3. Step 3: Cross multiply
    54,893.70x = 75,753.32 × 29,743.20
  4. Step 4: Simplify right side
    54,893.70x = 2,253,146,147.42
  5. Step 5: Solve for x
    x = 2,253,146,147.42/54,893.70
  6. Step 6: Final answer
    x = 41,045.62

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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.