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Finding the Fourth Proportional to 35,314.34, 52,984.44 and 33,227.78

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Solution

The fourth proportional to 35,314.34, 52,984.44 and 33,227.78 is: 49,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,314.34 : 52,984.44 = 33,227.78 : x
  2. Step 2: Convert to fraction form
    35,314.34/52,984.44 = 33,227.78/x
  3. Step 3: Cross multiply
    35,314.34x = 52,984.44 × 33,227.78
  4. Step 4: Simplify right side
    35,314.34x = 1,760,555,315.74
  5. Step 5: Solve for x
    x = 1,760,555,315.74/35,314.34
  6. Step 6: Final answer
    x = 49,853.84

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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.