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Finding the Fourth Proportional to 33,984, 50,996.16 and 15,517.44

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Solution

The fourth proportional to 33,984, 50,996.16 and 15,517.44 is: 23,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 50,996.16 = 15,517.44 : x
  2. Step 2: Convert to fraction form
    33,984/50,996.16 = 15,517.44/x
  3. Step 3: Cross multiply
    33,984x = 50,996.16 × 15,517.44
  4. Step 4: Simplify right side
    33,984x = 791,329,853.03
  5. Step 5: Solve for x
    x = 791,329,853.03/33,984
  6. Step 6: Final answer
    x = 23,285.37

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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.