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Finding the Fourth Proportional to 50,891.12, 70,227.24 and 28,229.84

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Solution

The fourth proportional to 50,891.12, 70,227.24 and 28,229.84 is: 38,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.12 : 70,227.24 = 28,229.84 : x
  2. Step 2: Convert to fraction form
    50,891.12/70,227.24 = 28,229.84/x
  3. Step 3: Cross multiply
    50,891.12x = 70,227.24 × 28,229.84
  4. Step 4: Simplify right side
    50,891.12x = 1,982,503,748.84
  5. Step 5: Solve for x
    x = 1,982,503,748.84/50,891.12
  6. Step 6: Final answer
    x = 38,955.79

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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.