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Finding the Fourth Proportional to 33,567.74, 50,348.36 and 10,194.38

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Solution

The fourth proportional to 33,567.74, 50,348.36 and 10,194.38 is: 15,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,567.74 : 50,348.36 = 10,194.38 : x
  2. Step 2: Convert to fraction form
    33,567.74/50,348.36 = 10,194.38/x
  3. Step 3: Cross multiply
    33,567.74x = 50,348.36 × 10,194.38
  4. Step 4: Simplify right side
    33,567.74x = 513,270,314.22
  5. Step 5: Solve for x
    x = 513,270,314.22/33,567.74
  6. Step 6: Final answer
    x = 15,290.58

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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.