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Finding the Fourth Proportional to 31,862.54, 47,774.82 and 12,142.64

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Solution

The fourth proportional to 31,862.54, 47,774.82 and 12,142.64 is: 18,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.54 : 47,774.82 = 12,142.64 : x
  2. Step 2: Convert to fraction form
    31,862.54/47,774.82 = 12,142.64/x
  3. Step 3: Cross multiply
    31,862.54x = 47,774.82 × 12,142.64
  4. Step 4: Simplify right side
    31,862.54x = 580,112,440.32
  5. Step 5: Solve for x
    x = 580,112,440.32/31,862.54
  6. Step 6: Final answer
    x = 18,206.72

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