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Finding the Fourth Proportional to 47,944.20, 71,940.56 and 32,329

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Solution

The fourth proportional to 47,944.20, 71,940.56 and 32,329 is: 48,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,944.20 : 71,940.56 = 32,329 : x
  2. Step 2: Convert to fraction form
    47,944.20/71,940.56 = 32,329/x
  3. Step 3: Cross multiply
    47,944.20x = 71,940.56 × 32,329
  4. Step 4: Simplify right side
    47,944.20x = 2,325,766,364.24
  5. Step 5: Solve for x
    x = 2,325,766,364.24/47,944.20
  6. Step 6: Final answer
    x = 48,509.86

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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.