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Finding the Fourth Proportional to 32,828, 49,242.06 and 8,204

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Solution

The fourth proportional to 32,828, 49,242.06 and 8,204 is: 12,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828 : 49,242.06 = 8,204 : x
  2. Step 2: Convert to fraction form
    32,828/49,242.06 = 8,204/x
  3. Step 3: Cross multiply
    32,828x = 49,242.06 × 8,204
  4. Step 4: Simplify right side
    32,828x = 403,981,860.24
  5. Step 5: Solve for x
    x = 403,981,860.24/32,828
  6. Step 6: Final answer
    x = 12,306.01

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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.