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Finding the Fourth Proportional to 67,832.28, 101,768.33 and 30,384.03

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Solution

The fourth proportional to 67,832.28, 101,768.33 and 30,384.03 is: 45,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,832.28 : 101,768.33 = 30,384.03 : x
  2. Step 2: Convert to fraction form
    67,832.28/101,768.33 = 30,384.03/x
  3. Step 3: Cross multiply
    67,832.28x = 101,768.33 × 30,384.03
  4. Step 4: Simplify right side
    67,832.28x = 3,092,131,839.85
  5. Step 5: Solve for x
    x = 3,092,131,839.85/67,832.28
  6. Step 6: Final answer
    x = 45,584.96

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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.