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Finding the Fourth Proportional to 29,233.36, 43,843.92 and 8,452

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Solution

The fourth proportional to 29,233.36, 43,843.92 and 8,452 is: 12,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233.36 : 43,843.92 = 8,452 : x
  2. Step 2: Convert to fraction form
    29,233.36/43,843.92 = 8,452/x
  3. Step 3: Cross multiply
    29,233.36x = 43,843.92 × 8,452
  4. Step 4: Simplify right side
    29,233.36x = 370,568,811.84
  5. Step 5: Solve for x
    x = 370,568,811.84/29,233.36
  6. Step 6: Final answer
    x = 12,676.23

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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.