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Finding the Fourth Proportional to 29,769.83, 41,082.21 and 16,157.88

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Solution

The fourth proportional to 29,769.83, 41,082.21 and 16,157.88 is: 22,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,769.83 : 41,082.21 = 16,157.88 : x
  2. Step 2: Convert to fraction form
    29,769.83/41,082.21 = 16,157.88/x
  3. Step 3: Cross multiply
    29,769.83x = 41,082.21 × 16,157.88
  4. Step 4: Simplify right side
    29,769.83x = 663,801,419.31
  5. Step 5: Solve for x
    x = 663,801,419.31/29,769.83
  6. Step 6: Final answer
    x = 22,297.79

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