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Finding the Fourth Proportional to 29,682.62, 44,493.16 and 18,563.78

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Solution

The fourth proportional to 29,682.62, 44,493.16 and 18,563.78 is: 27,826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,682.62 : 44,493.16 = 18,563.78 : x
  2. Step 2: Convert to fraction form
    29,682.62/44,493.16 = 18,563.78/x
  3. Step 3: Cross multiply
    29,682.62x = 44,493.16 × 18,563.78
  4. Step 4: Simplify right side
    29,682.62x = 825,961,233.74
  5. Step 5: Solve for x
    x = 825,961,233.74/29,682.62
  6. Step 6: Final answer
    x = 27,826.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.