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Finding the Fourth Proportional to 75,505.70, 113,272.22 and 31,107.78

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Solution

The fourth proportional to 75,505.70, 113,272.22 and 31,107.78 is: 46,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,505.70 : 113,272.22 = 31,107.78 : x
  2. Step 2: Convert to fraction form
    75,505.70/113,272.22 = 31,107.78/x
  3. Step 3: Cross multiply
    75,505.70x = 113,272.22 × 31,107.78
  4. Step 4: Simplify right side
    75,505.70x = 3,523,647,377.64
  5. Step 5: Solve for x
    x = 3,523,647,377.64/75,505.70
  6. Step 6: Final answer
    x = 46,667.30

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