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Finding the Fourth Proportional to 50,883.90, 70,215.26 and 28,222.43

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Solution

The fourth proportional to 50,883.90, 70,215.26 and 28,222.43 is: 38,944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,883.90 : 70,215.26 = 28,222.43 : x
  2. Step 2: Convert to fraction form
    50,883.90/70,215.26 = 28,222.43/x
  3. Step 3: Cross multiply
    50,883.90x = 70,215.26 × 28,222.43
  4. Step 4: Simplify right side
    50,883.90x = 1,981,644,768.09
  5. Step 5: Solve for x
    x = 1,981,644,768.09/50,883.90
  6. Step 6: Final answer
    x = 38,944.44

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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.