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Finding the Fourth Proportional to 78,382.91, 117,493.83 and 30,978.74

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Solution

The fourth proportional to 78,382.91, 117,493.83 and 30,978.74 is: 46,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.91 : 117,493.83 = 30,978.74 : x
  2. Step 2: Convert to fraction form
    78,382.91/117,493.83 = 30,978.74/x
  3. Step 3: Cross multiply
    78,382.91x = 117,493.83 × 30,978.74
  4. Step 4: Simplify right side
    78,382.91x = 3,639,810,223.71
  5. Step 5: Solve for x
    x = 3,639,810,223.71/78,382.91
  6. Step 6: Final answer
    x = 46,436.28

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