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Finding the Fourth Proportional to 105,724.90, 158,571.84 and 30,824.92

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Solution

The fourth proportional to 105,724.90, 158,571.84 and 30,824.92 is: 46,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724.90 : 158,571.84 = 30,824.92 : x
  2. Step 2: Convert to fraction form
    105,724.90/158,571.84 = 30,824.92/x
  3. Step 3: Cross multiply
    105,724.90x = 158,571.84 × 30,824.92
  4. Step 4: Simplify right side
    105,724.90x = 4,887,964,282.25
  5. Step 5: Solve for x
    x = 4,887,964,282.25/105,724.90
  6. Step 6: Final answer
    x = 46,232.86

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