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Finding the Fourth Proportional to 77,856.14, 107,441.48 and 42,046.14

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Solution

The fourth proportional to 77,856.14, 107,441.48 and 42,046.14 is: 58,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.14 : 107,441.48 = 42,046.14 : x
  2. Step 2: Convert to fraction form
    77,856.14/107,441.48 = 42,046.14/x
  3. Step 3: Cross multiply
    77,856.14x = 107,441.48 × 42,046.14
  4. Step 4: Simplify right side
    77,856.14x = 4,517,499,299.66
  5. Step 5: Solve for x
    x = 4,517,499,299.66/77,856.14
  6. Step 6: Final answer
    x = 58,023.68

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