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Finding the Fourth Proportional to 31,824.54, 47,733.12 and 8,452.80

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Solution

The fourth proportional to 31,824.54, 47,733.12 and 8,452.80 is: 12,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824.54 : 47,733.12 = 8,452.80 : x
  2. Step 2: Convert to fraction form
    31,824.54/47,733.12 = 8,452.80/x
  3. Step 3: Cross multiply
    31,824.54x = 47,733.12 × 8,452.80
  4. Step 4: Simplify right side
    31,824.54x = 403,478,516.74
  5. Step 5: Solve for x
    x = 403,478,516.74/31,824.54
  6. Step 6: Final answer
    x = 12,678.22

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