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Finding the Fourth Proportional to 77,856.64, 107,442.17 and 42,046.66

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Solution

The fourth proportional to 77,856.64, 107,442.17 and 42,046.66 is: 58,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.64 : 107,442.17 = 42,046.66 : x
  2. Step 2: Convert to fraction form
    77,856.64/107,442.17 = 42,046.66/x
  3. Step 3: Cross multiply
    77,856.64x = 107,442.17 × 42,046.66
  4. Step 4: Simplify right side
    77,856.64x = 4,517,584,473.40
  5. Step 5: Solve for x
    x = 4,517,584,473.40/77,856.64
  6. Step 6: Final answer
    x = 58,024.40

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