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Finding the Fourth Proportional to 78,517.74, 117,779.31 and 31,141.83

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Solution

The fourth proportional to 78,517.74, 117,779.31 and 31,141.83 is: 46,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,517.74 : 117,779.31 = 31,141.83 : x
  2. Step 2: Convert to fraction form
    78,517.74/117,779.31 = 31,141.83/x
  3. Step 3: Cross multiply
    78,517.74x = 117,779.31 × 31,141.83
  4. Step 4: Simplify right side
    78,517.74x = 3,667,863,249.54
  5. Step 5: Solve for x
    x = 3,667,863,249.54/78,517.74
  6. Step 6: Final answer
    x = 46,713.82

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