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Finding the Fourth Proportional to 33,814.20, 50,721.30 and 30,185.40

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Solution

The fourth proportional to 33,814.20, 50,721.30 and 30,185.40 is: 45,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.20 : 50,721.30 = 30,185.40 : x
  2. Step 2: Convert to fraction form
    33,814.20/50,721.30 = 30,185.40/x
  3. Step 3: Cross multiply
    33,814.20x = 50,721.30 × 30,185.40
  4. Step 4: Simplify right side
    33,814.20x = 1,531,042,729.02
  5. Step 5: Solve for x
    x = 1,531,042,729.02/33,814.20
  6. Step 6: Final answer
    x = 45,278.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.