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Finding the Fourth Proportional to 31,947.12, 47,914.08 and 8,568

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Solution

The fourth proportional to 31,947.12, 47,914.08 and 8,568 is: 12,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,947.12 : 47,914.08 = 8,568 : x
  2. Step 2: Convert to fraction form
    31,947.12/47,914.08 = 8,568/x
  3. Step 3: Cross multiply
    31,947.12x = 47,914.08 × 8,568
  4. Step 4: Simplify right side
    31,947.12x = 410,527,837.44
  5. Step 5: Solve for x
    x = 410,527,837.44/31,947.12
  6. Step 6: Final answer
    x = 12,850.23

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Why These Related Problems?

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