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Finding the Fourth Proportional to 33,781.98, 50,674 and 11,595.04

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Solution

The fourth proportional to 33,781.98, 50,674 and 11,595.04 is: 17,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,781.98 : 50,674 = 11,595.04 : x
  2. Step 2: Convert to fraction form
    33,781.98/50,674 = 11,595.04/x
  3. Step 3: Cross multiply
    33,781.98x = 50,674 × 11,595.04
  4. Step 4: Simplify right side
    33,781.98x = 587,567,056.96
  5. Step 5: Solve for x
    x = 587,567,056.96/33,781.98
  6. Step 6: Final answer
    x = 17,392.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.