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Finding the Fourth Proportional to 33,657.24, 50,480.06 and 12,591.64

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Solution

The fourth proportional to 33,657.24, 50,480.06 and 12,591.64 is: 18,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,657.24 : 50,480.06 = 12,591.64 : x
  2. Step 2: Convert to fraction form
    33,657.24/50,480.06 = 12,591.64/x
  3. Step 3: Cross multiply
    33,657.24x = 50,480.06 × 12,591.64
  4. Step 4: Simplify right side
    33,657.24x = 635,626,742.70
  5. Step 5: Solve for x
    x = 635,626,742.70/33,657.24
  6. Step 6: Final answer
    x = 18,885.29

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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.