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Finding the Fourth Proportional to 31,505, 47,257.68 and 8,129.84

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Solution

The fourth proportional to 31,505, 47,257.68 and 8,129.84 is: 12,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505 : 47,257.68 = 8,129.84 : x
  2. Step 2: Convert to fraction form
    31,505/47,257.68 = 8,129.84/x
  3. Step 3: Cross multiply
    31,505x = 47,257.68 × 8,129.84
  4. Step 4: Simplify right side
    31,505x = 384,197,377.17
  5. Step 5: Solve for x
    x = 384,197,377.17/31,505
  6. Step 6: Final answer
    x = 12,194.81

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