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Finding the Fourth Proportional to 54,894.39, 75,754.31 and 29,743.89

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Solution

The fourth proportional to 54,894.39, 75,754.31 and 29,743.89 is: 41,046.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.39 : 75,754.31 = 29,743.89 : x
  2. Step 2: Convert to fraction form
    54,894.39/75,754.31 = 29,743.89/x
  3. Step 3: Cross multiply
    54,894.39x = 75,754.31 × 29,743.89
  4. Step 4: Simplify right side
    54,894.39x = 2,253,227,863.67
  5. Step 5: Solve for x
    x = 2,253,227,863.67/54,894.39
  6. Step 6: Final answer
    x = 41,046.60

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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.