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Finding the Fourth Proportional to 33,820, 50,759.94 and 16,072.48

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Solution

The fourth proportional to 33,820, 50,759.94 and 16,072.48 is: 24,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,820 : 50,759.94 = 16,072.48 : x
  2. Step 2: Convert to fraction form
    33,820/50,759.94 = 16,072.48/x
  3. Step 3: Cross multiply
    33,820x = 50,759.94 × 16,072.48
  4. Step 4: Simplify right side
    33,820x = 815,838,120.45
  5. Step 5: Solve for x
    x = 815,838,120.45/33,820
  6. Step 6: Final answer
    x = 24,122.95

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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.