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Finding the Fourth Proportional to 33,523.40, 50,284.88 and 8,222.60

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Solution

The fourth proportional to 33,523.40, 50,284.88 and 8,222.60 is: 12,333.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,523.40 : 50,284.88 = 8,222.60 : x
  2. Step 2: Convert to fraction form
    33,523.40/50,284.88 = 8,222.60/x
  3. Step 3: Cross multiply
    33,523.40x = 50,284.88 × 8,222.60
  4. Step 4: Simplify right side
    33,523.40x = 413,472,454.29
  5. Step 5: Solve for x
    x = 413,472,454.29/33,523.40
  6. Step 6: Final answer
    x = 12,333.85

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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.