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Finding the Fourth Proportional to 33,015.74, 49,523.12 and 13,293.80

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Solution

The fourth proportional to 33,015.74, 49,523.12 and 13,293.80 is: 19,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,015.74 : 49,523.12 = 13,293.80 : x
  2. Step 2: Convert to fraction form
    33,015.74/49,523.12 = 13,293.80/x
  3. Step 3: Cross multiply
    33,015.74x = 49,523.12 × 13,293.80
  4. Step 4: Simplify right side
    33,015.74x = 658,350,138.57
  5. Step 5: Solve for x
    x = 658,350,138.57/33,015.74
  6. Step 6: Final answer
    x = 19,940.49

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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.