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Finding the Fourth Proportional to 33,278.91, 45,975 and 21,821.04

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Solution

The fourth proportional to 33,278.91, 45,975 and 21,821.04 is: 30,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,278.91 : 45,975 = 21,821.04 : x
  2. Step 2: Convert to fraction form
    33,278.91/45,975 = 21,821.04/x
  3. Step 3: Cross multiply
    33,278.91x = 45,975 × 21,821.04
  4. Step 4: Simplify right side
    33,278.91x = 1,003,222,314
  5. Step 5: Solve for x
    x = 1,003,222,314/33,278.91
  6. Step 6: Final answer
    x = 30,145.89

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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.