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Finding the Fourth Proportional to 33,524.26, 50,292.87 and 12,746.14

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Solution

The fourth proportional to 33,524.26, 50,292.87 and 12,746.14 is: 19,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.26 : 50,292.87 = 12,746.14 : x
  2. Step 2: Convert to fraction form
    33,524.26/50,292.87 = 12,746.14/x
  3. Step 3: Cross multiply
    33,524.26x = 50,292.87 × 12,746.14
  4. Step 4: Simplify right side
    33,524.26x = 641,039,962.02
  5. Step 5: Solve for x
    x = 641,039,962.02/33,524.26
  6. Step 6: Final answer
    x = 19,121.67

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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.