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Finding the Fourth Proportional to 49,716.39, 68,610.09 and 27,057

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Solution

The fourth proportional to 49,716.39, 68,610.09 and 27,057 is: 37,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,716.39 : 68,610.09 = 27,057 : x
  2. Step 2: Convert to fraction form
    49,716.39/68,610.09 = 27,057/x
  3. Step 3: Cross multiply
    49,716.39x = 68,610.09 × 27,057
  4. Step 4: Simplify right side
    49,716.39x = 1,856,383,205.13
  5. Step 5: Solve for x
    x = 1,856,383,205.13/49,716.39
  6. Step 6: Final answer
    x = 37,339.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.