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Finding the Fourth Proportional to 31,954.80, 47,932.20 and 29,233.20

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Solution

The fourth proportional to 31,954.80, 47,932.20 and 29,233.20 is: 43,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.80 : 47,932.20 = 29,233.20 : x
  2. Step 2: Convert to fraction form
    31,954.80/47,932.20 = 29,233.20/x
  3. Step 3: Cross multiply
    31,954.80x = 47,932.20 × 29,233.20
  4. Step 4: Simplify right side
    31,954.80x = 1,401,211,589.04
  5. Step 5: Solve for x
    x = 1,401,211,589.04/31,954.80
  6. Step 6: Final answer
    x = 43,849.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.