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Finding the Fourth Proportional to 31,568.58, 47,352.87 and 8,198.46

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Solution

The fourth proportional to 31,568.58, 47,352.87 and 8,198.46 is: 12,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.58 : 47,352.87 = 8,198.46 : x
  2. Step 2: Convert to fraction form
    31,568.58/47,352.87 = 8,198.46/x
  3. Step 3: Cross multiply
    31,568.58x = 47,352.87 × 8,198.46
  4. Step 4: Simplify right side
    31,568.58x = 388,220,610.58
  5. Step 5: Solve for x
    x = 388,220,610.58/31,568.58
  6. Step 6: Final answer
    x = 12,297.69

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1.5x scale

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.