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Finding the Fourth Proportional to 31,964.80, 47,947.20 and 8,593.60

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Solution

The fourth proportional to 31,964.80, 47,947.20 and 8,593.60 is: 12,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.80 : 47,947.20 = 8,593.60 : x
  2. Step 2: Convert to fraction form
    31,964.80/47,947.20 = 8,593.60/x
  3. Step 3: Cross multiply
    31,964.80x = 47,947.20 × 8,593.60
  4. Step 4: Simplify right side
    31,964.80x = 412,039,057.92
  5. Step 5: Solve for x
    x = 412,039,057.92/31,964.80
  6. Step 6: Final answer
    x = 12,890.40

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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.