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Finding the Fourth Proportional to 49,073.78, 67,716.42 and 27,559.16

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Solution

The fourth proportional to 49,073.78, 67,716.42 and 27,559.16 is: 38,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,073.78 : 67,716.42 = 27,559.16 : x
  2. Step 2: Convert to fraction form
    49,073.78/67,716.42 = 27,559.16/x
  3. Step 3: Cross multiply
    49,073.78x = 67,716.42 × 27,559.16
  4. Step 4: Simplify right side
    49,073.78x = 1,866,207,314.83
  5. Step 5: Solve for x
    x = 1,866,207,314.83/49,073.78
  6. Step 6: Final answer
    x = 38,028.61

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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.