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Finding the Fourth Proportional to 78,654.42, 117,980.88 and 31,896.18

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Solution

The fourth proportional to 78,654.42, 117,980.88 and 31,896.18 is: 47,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.42 : 117,980.88 = 31,896.18 : x
  2. Step 2: Convert to fraction form
    78,654.42/117,980.88 = 31,896.18/x
  3. Step 3: Cross multiply
    78,654.42x = 117,980.88 × 31,896.18
  4. Step 4: Simplify right side
    78,654.42x = 3,763,139,385.04
  5. Step 5: Solve for x
    x = 3,763,139,385.04/78,654.42
  6. Step 6: Final answer
    x = 47,843.97

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