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Finding the Fourth Proportional to 33,524.50, 50,293.23 and 12,746.38

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Solution

The fourth proportional to 33,524.50, 50,293.23 and 12,746.38 is: 19,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524.50 : 50,293.23 = 12,746.38 : x
  2. Step 2: Convert to fraction form
    33,524.50/50,293.23 = 12,746.38/x
  3. Step 3: Cross multiply
    33,524.50x = 50,293.23 × 12,746.38
  4. Step 4: Simplify right side
    33,524.50x = 641,056,621.01
  5. Step 5: Solve for x
    x = 641,056,621.01/33,524.50
  6. Step 6: Final answer
    x = 19,122.03

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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.