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Finding the Fourth Proportional to 33,839.93, 46,720.34 and 21,745.82

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Solution

The fourth proportional to 33,839.93, 46,720.34 and 21,745.82 is: 30,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,839.93 : 46,720.34 = 21,745.82 : x
  2. Step 2: Convert to fraction form
    33,839.93/46,720.34 = 21,745.82/x
  3. Step 3: Cross multiply
    33,839.93x = 46,720.34 × 21,745.82
  4. Step 4: Simplify right side
    33,839.93x = 1,015,972,053.12
  5. Step 5: Solve for x
    x = 1,015,972,053.12/33,839.93
  6. Step 6: Final answer
    x = 30,022.88

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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.