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Finding the Fourth Proportional to 50,878.80, 70,213.37 and 28,218.24

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Solution

The fourth proportional to 50,878.80, 70,213.37 and 28,218.24 is: 38,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,878.80 : 70,213.37 = 28,218.24 : x
  2. Step 2: Convert to fraction form
    50,878.80/70,213.37 = 28,218.24/x
  3. Step 3: Cross multiply
    50,878.80x = 70,213.37 × 28,218.24
  4. Step 4: Simplify right side
    50,878.80x = 1,981,297,584.78
  5. Step 5: Solve for x
    x = 1,981,297,584.78/50,878.80
  6. Step 6: Final answer
    x = 38,941.52

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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.