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Finding the Fourth Proportional to 47,763.42, 71,546.65 and 27,982

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Solution

The fourth proportional to 47,763.42, 71,546.65 and 27,982 is: 41,915.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.42 : 71,546.65 = 27,982 : x
  2. Step 2: Convert to fraction form
    47,763.42/71,546.65 = 27,982/x
  3. Step 3: Cross multiply
    47,763.42x = 71,546.65 × 27,982
  4. Step 4: Simplify right side
    47,763.42x = 2,002,018,360.30
  5. Step 5: Solve for x
    x = 2,002,018,360.30/47,763.42
  6. Step 6: Final answer
    x = 41,915.31

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