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Finding the Fourth Proportional to 31,774.56, 47,662.02 and 8,400.75

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Solution

The fourth proportional to 31,774.56, 47,662.02 and 8,400.75 is: 12,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.56 : 47,662.02 = 8,400.75 : x
  2. Step 2: Convert to fraction form
    31,774.56/47,662.02 = 8,400.75/x
  3. Step 3: Cross multiply
    31,774.56x = 47,662.02 × 8,400.75
  4. Step 4: Simplify right side
    31,774.56x = 400,396,714.52
  5. Step 5: Solve for x
    x = 400,396,714.52/31,774.56
  6. Step 6: Final answer
    x = 12,601.17

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