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Finding the Fourth Proportional to 50,876.89, 70,213.68 and 28,218.04

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Solution

The fourth proportional to 50,876.89, 70,213.68 and 28,218.04 is: 38,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876.89 : 70,213.68 = 28,218.04 : x
  2. Step 2: Convert to fraction form
    50,876.89/70,213.68 = 28,218.04/x
  3. Step 3: Cross multiply
    50,876.89x = 70,213.68 × 28,218.04
  4. Step 4: Simplify right side
    50,876.89x = 1,981,292,255.25
  5. Step 5: Solve for x
    x = 1,981,292,255.25/50,876.89
  6. Step 6: Final answer
    x = 38,942.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.