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Finding the Fourth Proportional to 54,993.90, 75,891.58 and 29,843.40

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Solution

The fourth proportional to 54,993.90, 75,891.58 and 29,843.40 is: 41,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993.90 : 75,891.58 = 29,843.40 : x
  2. Step 2: Convert to fraction form
    54,993.90/75,891.58 = 29,843.40/x
  3. Step 3: Cross multiply
    54,993.90x = 75,891.58 × 29,843.40
  4. Step 4: Simplify right side
    54,993.90x = 2,264,863,042.91
  5. Step 5: Solve for x
    x = 2,264,863,042.91/54,993.90
  6. Step 6: Final answer
    x = 41,183.89

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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.