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Finding the Fourth Proportional to 31,922.40, 47,883.60 and 8,229.90

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Solution

The fourth proportional to 31,922.40, 47,883.60 and 8,229.90 is: 12,344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.40 : 47,883.60 = 8,229.90 : x
  2. Step 2: Convert to fraction form
    31,922.40/47,883.60 = 8,229.90/x
  3. Step 3: Cross multiply
    31,922.40x = 47,883.60 × 8,229.90
  4. Step 4: Simplify right side
    31,922.40x = 394,077,239.64
  5. Step 5: Solve for x
    x = 394,077,239.64/31,922.40
  6. Step 6: Final answer
    x = 12,344.85

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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.