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Finding the Fourth Proportional to 87,422, 120,642.48 and 47,678

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Solution

The fourth proportional to 87,422, 120,642.48 and 47,678 is: 65,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,422 : 120,642.48 = 47,678 : x
  2. Step 2: Convert to fraction form
    87,422/120,642.48 = 47,678/x
  3. Step 3: Cross multiply
    87,422x = 120,642.48 × 47,678
  4. Step 4: Simplify right side
    87,422x = 5,751,992,161.44
  5. Step 5: Solve for x
    x = 5,751,992,161.44/87,422
  6. Step 6: Final answer
    x = 65,795.71

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