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Finding the Fourth Proportional to 29,049.12, 43,491.58 and 18,493

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Solution

The fourth proportional to 29,049.12, 43,491.58 and 18,493 is: 27,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,049.12 : 43,491.58 = 18,493 : x
  2. Step 2: Convert to fraction form
    29,049.12/43,491.58 = 18,493/x
  3. Step 3: Cross multiply
    29,049.12x = 43,491.58 × 18,493
  4. Step 4: Simplify right side
    29,049.12x = 804,289,788.94
  5. Step 5: Solve for x
    x = 804,289,788.94/29,049.12
  6. Step 6: Final answer
    x = 27,687.23

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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.