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Finding the Fourth Proportional to 31,822.56, 47,730.10 and 8,450.80

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Solution

The fourth proportional to 31,822.56, 47,730.10 and 8,450.80 is: 12,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.56 : 47,730.10 = 8,450.80 : x
  2. Step 2: Convert to fraction form
    31,822.56/47,730.10 = 8,450.80/x
  3. Step 3: Cross multiply
    31,822.56x = 47,730.10 × 8,450.80
  4. Step 4: Simplify right side
    31,822.56x = 403,357,529.08
  5. Step 5: Solve for x
    x = 403,357,529.08/31,822.56
  6. Step 6: Final answer
    x = 12,675.21

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