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Finding the Fourth Proportional to 33,755.25, 46,566.75 and 21,822.42

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Solution

The fourth proportional to 33,755.25, 46,566.75 and 21,822.42 is: 30,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,755.25 : 46,566.75 = 21,822.42 : x
  2. Step 2: Convert to fraction form
    33,755.25/46,566.75 = 21,822.42/x
  3. Step 3: Cross multiply
    33,755.25x = 46,566.75 × 21,822.42
  4. Step 4: Simplify right side
    33,755.25x = 1,016,199,176.54
  5. Step 5: Solve for x
    x = 1,016,199,176.54/33,755.25
  6. Step 6: Final answer
    x = 30,104.92

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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.