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Finding the Fourth Proportional to 71,843.69, 99,144.41 and 41,634.81

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Solution

The fourth proportional to 71,843.69, 99,144.41 and 41,634.81 is: 57,456.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.69 : 99,144.41 = 41,634.81 : x
  2. Step 2: Convert to fraction form
    71,843.69/99,144.41 = 41,634.81/x
  3. Step 3: Cross multiply
    71,843.69x = 99,144.41 × 41,634.81
  4. Step 4: Simplify right side
    71,843.69x = 4,127,858,464.74
  5. Step 5: Solve for x
    x = 4,127,858,464.74/71,843.69
  6. Step 6: Final answer
    x = 57,456.10

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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.