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Finding the Fourth Proportional to 77,856.40, 107,441.81 and 42,046.40

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Solution

The fourth proportional to 77,856.40, 107,441.81 and 42,046.40 is: 58,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.40 : 107,441.81 = 42,046.40 : x
  2. Step 2: Convert to fraction form
    77,856.40/107,441.81 = 42,046.40/x
  3. Step 3: Cross multiply
    77,856.40x = 107,441.81 × 42,046.40
  4. Step 4: Simplify right side
    77,856.40x = 4,517,541,319.98
  5. Step 5: Solve for x
    x = 4,517,541,319.98/77,856.40
  6. Step 6: Final answer
    x = 58,024.02

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