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Finding the Fourth Proportional to 33,930.72, 50,896.16 and 9,306.72

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Solution

The fourth proportional to 33,930.72, 50,896.16 and 9,306.72 is: 13,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.72 : 50,896.16 = 9,306.72 : x
  2. Step 2: Convert to fraction form
    33,930.72/50,896.16 = 9,306.72/x
  3. Step 3: Cross multiply
    33,930.72x = 50,896.16 × 9,306.72
  4. Step 4: Simplify right side
    33,930.72x = 473,676,310.20
  5. Step 5: Solve for x
    x = 473,676,310.20/33,930.72
  6. Step 6: Final answer
    x = 13,960.10

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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.