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Finding the Fourth Proportional to 29,709.92, 44,563.97 and 12,166.53

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Solution

The fourth proportional to 29,709.92, 44,563.97 and 12,166.53 is: 18,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.92 : 44,563.97 = 12,166.53 : x
  2. Step 2: Convert to fraction form
    29,709.92/44,563.97 = 12,166.53/x
  3. Step 3: Cross multiply
    29,709.92x = 44,563.97 × 12,166.53
  4. Step 4: Simplify right side
    29,709.92x = 542,188,817.09
  5. Step 5: Solve for x
    x = 542,188,817.09/29,709.92
  6. Step 6: Final answer
    x = 18,249.42

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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.