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Finding the Fourth Proportional to 33,828.02, 50,745.02 and 8,868

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Solution

The fourth proportional to 33,828.02, 50,745.02 and 8,868 is: 13,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,828.02 : 50,745.02 = 8,868 : x
  2. Step 2: Convert to fraction form
    33,828.02/50,745.02 = 8,868/x
  3. Step 3: Cross multiply
    33,828.02x = 50,745.02 × 8,868
  4. Step 4: Simplify right side
    33,828.02x = 450,006,837.36
  5. Step 5: Solve for x
    x = 450,006,837.36/33,828.02
  6. Step 6: Final answer
    x = 13,302.78

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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.