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Finding the Fourth Proportional to 109,880.46, 164,824.74 and 30,996.80

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Solution

The fourth proportional to 109,880.46, 164,824.74 and 30,996.80 is: 46,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,880.46 : 164,824.74 = 30,996.80 : x
  2. Step 2: Convert to fraction form
    109,880.46/164,824.74 = 30,996.80/x
  3. Step 3: Cross multiply
    109,880.46x = 164,824.74 × 30,996.80
  4. Step 4: Simplify right side
    109,880.46x = 5,109,039,500.83
  5. Step 5: Solve for x
    x = 5,109,039,500.83/109,880.46
  6. Step 6: Final answer
    x = 46,496.34

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