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Finding the Fourth Proportional to 33,578.88, 50,367.42 and 13,842.78

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Solution

The fourth proportional to 33,578.88, 50,367.42 and 13,842.78 is: 20,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578.88 : 50,367.42 = 13,842.78 : x
  2. Step 2: Convert to fraction form
    33,578.88/50,367.42 = 13,842.78/x
  3. Step 3: Cross multiply
    33,578.88x = 50,367.42 × 13,842.78
  4. Step 4: Simplify right side
    33,578.88x = 697,225,114.23
  5. Step 5: Solve for x
    x = 697,225,114.23/33,578.88
  6. Step 6: Final answer
    x = 20,763.80

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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.