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Finding the Fourth Proportional to 31,367.68, 47,049.28 and 7,994.24

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Solution

The fourth proportional to 31,367.68, 47,049.28 and 7,994.24 is: 11,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.68 : 47,049.28 = 7,994.24 : x
  2. Step 2: Convert to fraction form
    31,367.68/47,049.28 = 7,994.24/x
  3. Step 3: Cross multiply
    31,367.68x = 47,049.28 × 7,994.24
  4. Step 4: Simplify right side
    31,367.68x = 376,123,236.15
  5. Step 5: Solve for x
    x = 376,123,236.15/31,367.68
  6. Step 6: Final answer
    x = 11,990.79

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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.