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Finding the Fourth Proportional to 31,878.40, 47,778.56 and 17,998.40

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Solution

The fourth proportional to 31,878.40, 47,778.56 and 17,998.40 is: 26,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.40 : 47,778.56 = 17,998.40 : x
  2. Step 2: Convert to fraction form
    31,878.40/47,778.56 = 17,998.40/x
  3. Step 3: Cross multiply
    31,878.40x = 47,778.56 × 17,998.40
  4. Step 4: Simplify right side
    31,878.40x = 859,937,634.30
  5. Step 5: Solve for x
    x = 859,937,634.30/31,878.40
  6. Step 6: Final answer
    x = 26,975.56

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