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Finding the Fourth Proportional to 31,520.97, 47,280.24 and 7,828.56

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Solution

The fourth proportional to 31,520.97, 47,280.24 and 7,828.56 is: 11,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,520.97 : 47,280.24 = 7,828.56 : x
  2. Step 2: Convert to fraction form
    31,520.97/47,280.24 = 7,828.56/x
  3. Step 3: Cross multiply
    31,520.97x = 47,280.24 × 7,828.56
  4. Step 4: Simplify right side
    31,520.97x = 370,136,195.65
  5. Step 5: Solve for x
    x = 370,136,195.65/31,520.97
  6. Step 6: Final answer
    x = 11,742.54

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