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Finding the Fourth Proportional to 31,782.75, 47,643.09 and 15,138.33

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Solution

The fourth proportional to 31,782.75, 47,643.09 and 15,138.33 is: 22,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.75 : 47,643.09 = 15,138.33 : x
  2. Step 2: Convert to fraction form
    31,782.75/47,643.09 = 15,138.33/x
  3. Step 3: Cross multiply
    31,782.75x = 47,643.09 × 15,138.33
  4. Step 4: Simplify right side
    31,782.75x = 721,236,818.64
  5. Step 5: Solve for x
    x = 721,236,818.64/31,782.75
  6. Step 6: Final answer
    x = 22,692.71

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