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Finding the Fourth Proportional to 106,082.56, 159,101.40 and 31,182.31

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Solution

The fourth proportional to 106,082.56, 159,101.40 and 31,182.31 is: 46,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,082.56 : 159,101.40 = 31,182.31 : x
  2. Step 2: Convert to fraction form
    106,082.56/159,101.40 = 31,182.31/x
  3. Step 3: Cross multiply
    106,082.56x = 159,101.40 × 31,182.31
  4. Step 4: Simplify right side
    106,082.56x = 4,961,149,176.23
  5. Step 5: Solve for x
    x = 4,961,149,176.23/106,082.56
  6. Step 6: Final answer
    x = 46,766.87

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