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Finding the Fourth Proportional to 83,505.78, 115,238.34 and 49,971.78

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Solution

The fourth proportional to 83,505.78, 115,238.34 and 49,971.78 is: 68,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,505.78 : 115,238.34 = 49,971.78 : x
  2. Step 2: Convert to fraction form
    83,505.78/115,238.34 = 49,971.78/x
  3. Step 3: Cross multiply
    83,505.78x = 115,238.34 × 49,971.78
  4. Step 4: Simplify right side
    83,505.78x = 5,758,664,974.05
  5. Step 5: Solve for x
    x = 5,758,664,974.05/83,505.78
  6. Step 6: Final answer
    x = 68,961.27

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