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Finding the Fourth Proportional to 109,711.20, 164,566.80 and 30,838.80

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Solution

The fourth proportional to 109,711.20, 164,566.80 and 30,838.80 is: 46,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,711.20 : 164,566.80 = 30,838.80 : x
  2. Step 2: Convert to fraction form
    109,711.20/164,566.80 = 30,838.80/x
  3. Step 3: Cross multiply
    109,711.20x = 164,566.80 × 30,838.80
  4. Step 4: Simplify right side
    109,711.20x = 5,075,042,631.84
  5. Step 5: Solve for x
    x = 5,075,042,631.84/109,711.20
  6. Step 6: Final answer
    x = 46,258.20

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