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Finding the Fourth Proportional to 31,828.52, 47,739.12 and 8,456.78

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Solution

The fourth proportional to 31,828.52, 47,739.12 and 8,456.78 is: 12,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,828.52 : 47,739.12 = 8,456.78 : x
  2. Step 2: Convert to fraction form
    31,828.52/47,739.12 = 8,456.78/x
  3. Step 3: Cross multiply
    31,828.52x = 47,739.12 × 8,456.78
  4. Step 4: Simplify right side
    31,828.52x = 403,719,235.23
  5. Step 5: Solve for x
    x = 403,719,235.23/31,828.52
  6. Step 6: Final answer
    x = 12,684.20

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