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Finding the Fourth Proportional to 33,647.94, 46,452.78 and 20,222.46

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Solution

The fourth proportional to 33,647.94, 46,452.78 and 20,222.46 is: 27,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.94 : 46,452.78 = 20,222.46 : x
  2. Step 2: Convert to fraction form
    33,647.94/46,452.78 = 20,222.46/x
  3. Step 3: Cross multiply
    33,647.94x = 46,452.78 × 20,222.46
  4. Step 4: Simplify right side
    33,647.94x = 939,389,485.44
  5. Step 5: Solve for x
    x = 939,389,485.44/33,647.94
  6. Step 6: Final answer
    x = 27,918.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.