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Finding the Fourth Proportional to 31,834.78, 47,739.03 and 13,824.18

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Solution

The fourth proportional to 31,834.78, 47,739.03 and 13,824.18 is: 20,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834.78 : 47,739.03 = 13,824.18 : x
  2. Step 2: Convert to fraction form
    31,834.78/47,739.03 = 13,824.18/x
  3. Step 3: Cross multiply
    31,834.78x = 47,739.03 × 13,824.18
  4. Step 4: Simplify right side
    31,834.78x = 659,952,943.75
  5. Step 5: Solve for x
    x = 659,952,943.75/31,834.78
  6. Step 6: Final answer
    x = 20,730.56

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