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Finding the Fourth Proportional to 75,546.72, 104,258.16 and 42,012

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Solution

The fourth proportional to 75,546.72, 104,258.16 and 42,012 is: 57,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546.72 : 104,258.16 = 42,012 : x
  2. Step 2: Convert to fraction form
    75,546.72/104,258.16 = 42,012/x
  3. Step 3: Cross multiply
    75,546.72x = 104,258.16 × 42,012
  4. Step 4: Simplify right side
    75,546.72x = 4,380,093,817.92
  5. Step 5: Solve for x
    x = 4,380,093,817.92/75,546.72
  6. Step 6: Final answer
    x = 57,978.61

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