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Finding the Fourth Proportional to 75,871.45, 113,857.97 and 31,498.24

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Solution

The fourth proportional to 75,871.45, 113,857.97 and 31,498.24 is: 47,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.45 : 113,857.97 = 31,498.24 : x
  2. Step 2: Convert to fraction form
    75,871.45/113,857.97 = 31,498.24/x
  3. Step 3: Cross multiply
    75,871.45x = 113,857.97 × 31,498.24
  4. Step 4: Simplify right side
    75,871.45x = 3,586,325,664.97
  5. Step 5: Solve for x
    x = 3,586,325,664.97/75,871.45
  6. Step 6: Final answer
    x = 47,268.45

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