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Finding the Fourth Proportional to 33,996.67, 46,922.10 and 21,724.21

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Solution

The fourth proportional to 33,996.67, 46,922.10 and 21,724.21 is: 29,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996.67 : 46,922.10 = 21,724.21 : x
  2. Step 2: Convert to fraction form
    33,996.67/46,922.10 = 21,724.21/x
  3. Step 3: Cross multiply
    33,996.67x = 46,922.10 × 21,724.21
  4. Step 4: Simplify right side
    33,996.67x = 1,019,345,554.04
  5. Step 5: Solve for x
    x = 1,019,345,554.04/33,996.67
  6. Step 6: Final answer
    x = 29,983.69

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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.