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Finding the Fourth Proportional to 50,882.31, 70,215.12 and 28,222.20

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Solution

The fourth proportional to 50,882.31, 70,215.12 and 28,222.20 is: 38,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882.31 : 70,215.12 = 28,222.20 : x
  2. Step 2: Convert to fraction form
    50,882.31/70,215.12 = 28,222.20/x
  3. Step 3: Cross multiply
    50,882.31x = 70,215.12 × 28,222.20
  4. Step 4: Simplify right side
    50,882.31x = 1,981,625,159.66
  5. Step 5: Solve for x
    x = 1,981,625,159.66/50,882.31
  6. Step 6: Final answer
    x = 38,945.27

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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.