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Finding the Fourth Proportional to 33,556.25, 50,297.43 and 13,824.04

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Solution

The fourth proportional to 33,556.25, 50,297.43 and 13,824.04 is: 20,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,556.25 : 50,297.43 = 13,824.04 : x
  2. Step 2: Convert to fraction form
    33,556.25/50,297.43 = 13,824.04/x
  3. Step 3: Cross multiply
    33,556.25x = 50,297.43 × 13,824.04
  4. Step 4: Simplify right side
    33,556.25x = 695,313,558.47
  5. Step 5: Solve for x
    x = 695,313,558.47/33,556.25
  6. Step 6: Final answer
    x = 20,720.84

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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.