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Finding the Fourth Proportional to 31,553.80, 47,334.94 and 9,367.48

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Solution

The fourth proportional to 31,553.80, 47,334.94 and 9,367.48 is: 14,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.80 : 47,334.94 = 9,367.48 : x
  2. Step 2: Convert to fraction form
    31,553.80/47,334.94 = 9,367.48/x
  3. Step 3: Cross multiply
    31,553.80x = 47,334.94 × 9,367.48
  4. Step 4: Simplify right side
    31,553.80x = 443,409,103.75
  5. Step 5: Solve for x
    x = 443,409,103.75/31,553.80
  6. Step 6: Final answer
    x = 14,052.48

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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.