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Finding the Fourth Proportional to 50,874.26, 70,213.65 and 28,218.29

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Solution

The fourth proportional to 50,874.26, 70,213.65 and 28,218.29 is: 38,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874.26 : 70,213.65 = 28,218.29 : x
  2. Step 2: Convert to fraction form
    50,874.26/70,213.65 = 28,218.29/x
  3. Step 3: Cross multiply
    50,874.26x = 70,213.65 × 28,218.29
  4. Step 4: Simplify right side
    50,874.26x = 1,981,309,137.66
  5. Step 5: Solve for x
    x = 1,981,309,137.66/50,874.26
  6. Step 6: Final answer
    x = 38,945.22

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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.