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Finding the Fourth Proportional to 29,930.34, 41,305.38 and 17,183.42

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Solution

The fourth proportional to 29,930.34, 41,305.38 and 17,183.42 is: 23,713.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.34 : 41,305.38 = 17,183.42 : x
  2. Step 2: Convert to fraction form
    29,930.34/41,305.38 = 17,183.42/x
  3. Step 3: Cross multiply
    29,930.34x = 41,305.38 × 17,183.42
  4. Step 4: Simplify right side
    29,930.34x = 709,767,692.80
  5. Step 5: Solve for x
    x = 709,767,692.80/29,930.34
  6. Step 6: Final answer
    x = 23,713.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.