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Finding the Fourth Proportional to 31,977.76, 47,950.96 and 11,198.24

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Solution

The fourth proportional to 31,977.76, 47,950.96 and 11,198.24 is: 16,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.76 : 47,950.96 = 11,198.24 : x
  2. Step 2: Convert to fraction form
    31,977.76/47,950.96 = 11,198.24/x
  3. Step 3: Cross multiply
    31,977.76x = 47,950.96 × 11,198.24
  4. Step 4: Simplify right side
    31,977.76x = 536,966,358.31
  5. Step 5: Solve for x
    x = 536,966,358.31/31,977.76
  6. Step 6: Final answer
    x = 16,791.87

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