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Finding the Fourth Proportional to 33,540, 50,311.32 and 11,355.60

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Solution

The fourth proportional to 33,540, 50,311.32 and 11,355.60 is: 17,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,540 : 50,311.32 = 11,355.60 : x
  2. Step 2: Convert to fraction form
    33,540/50,311.32 = 11,355.60/x
  3. Step 3: Cross multiply
    33,540x = 50,311.32 × 11,355.60
  4. Step 4: Simplify right side
    33,540x = 571,315,225.39
  5. Step 5: Solve for x
    x = 571,315,225.39/33,540
  6. Step 6: Final answer
    x = 17,033.85

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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.