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Finding the Fourth Proportional to 81,847.92, 122,774.24 and 31,926

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Solution

The fourth proportional to 81,847.92, 122,774.24 and 31,926 is: 47,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,847.92 : 122,774.24 = 31,926 : x
  2. Step 2: Convert to fraction form
    81,847.92/122,774.24 = 31,926/x
  3. Step 3: Cross multiply
    81,847.92x = 122,774.24 × 31,926
  4. Step 4: Simplify right side
    81,847.92x = 3,919,690,386.24
  5. Step 5: Solve for x
    x = 3,919,690,386.24/81,847.92
  6. Step 6: Final answer
    x = 47,889.92

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