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Finding the Fourth Proportional to 33,588.96, 50,381.04 and 10,214

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Solution

The fourth proportional to 33,588.96, 50,381.04 and 10,214 is: 15,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,588.96 : 50,381.04 = 10,214 : x
  2. Step 2: Convert to fraction form
    33,588.96/50,381.04 = 10,214/x
  3. Step 3: Cross multiply
    33,588.96x = 50,381.04 × 10,214
  4. Step 4: Simplify right side
    33,588.96x = 514,591,942.56
  5. Step 5: Solve for x
    x = 514,591,942.56/33,588.96
  6. Step 6: Final answer
    x = 15,320.27

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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.