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Finding the Fourth Proportional to 31,778.92, 47,633.82 and 13,289.32

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Solution

The fourth proportional to 31,778.92, 47,633.82 and 13,289.32 is: 19,919.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.92 : 47,633.82 = 13,289.32 : x
  2. Step 2: Convert to fraction form
    31,778.92/47,633.82 = 13,289.32/x
  3. Step 3: Cross multiply
    31,778.92x = 47,633.82 × 13,289.32
  4. Step 4: Simplify right side
    31,778.92x = 633,021,076.80
  5. Step 5: Solve for x
    x = 633,021,076.80/31,778.92
  6. Step 6: Final answer
    x = 19,919.53

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