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Finding the Fourth Proportional to 33,842, 50,751.84 and 11,654.88

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Solution

The fourth proportional to 33,842, 50,751.84 and 11,654.88 is: 17,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842 : 50,751.84 = 11,654.88 : x
  2. Step 2: Convert to fraction form
    33,842/50,751.84 = 11,654.88/x
  3. Step 3: Cross multiply
    33,842x = 50,751.84 × 11,654.88
  4. Step 4: Simplify right side
    33,842x = 591,506,604.98
  5. Step 5: Solve for x
    x = 591,506,604.98/33,842
  6. Step 6: Final answer
    x = 17,478.48

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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.