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Finding the Fourth Proportional to 31,882.56, 47,823.93 and 15,238.82

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Solution

The fourth proportional to 31,882.56, 47,823.93 and 15,238.82 is: 22,858.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.56 : 47,823.93 = 15,238.82 : x
  2. Step 2: Convert to fraction form
    31,882.56/47,823.93 = 15,238.82/x
  3. Step 3: Cross multiply
    31,882.56x = 47,823.93 × 15,238.82
  4. Step 4: Simplify right side
    31,882.56x = 728,780,021.84
  5. Step 5: Solve for x
    x = 728,780,021.84/31,882.56
  6. Step 6: Final answer
    x = 22,858.27

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