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Finding the Fourth Proportional to 29,082.24, 43,636.32 and 15,228

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Solution

The fourth proportional to 29,082.24, 43,636.32 and 15,228 is: 22,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,082.24 : 43,636.32 = 15,228 : x
  2. Step 2: Convert to fraction form
    29,082.24/43,636.32 = 15,228/x
  3. Step 3: Cross multiply
    29,082.24x = 43,636.32 × 15,228
  4. Step 4: Simplify right side
    29,082.24x = 664,493,880.96
  5. Step 5: Solve for x
    x = 664,493,880.96/29,082.24
  6. Step 6: Final answer
    x = 22,848.79

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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.