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Finding the Fourth Proportional to 52,093.71, 71,889.21 and 28,220.97

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Solution

The fourth proportional to 52,093.71, 71,889.21 and 28,220.97 is: 38,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093.71 : 71,889.21 = 28,220.97 : x
  2. Step 2: Convert to fraction form
    52,093.71/71,889.21 = 28,220.97/x
  3. Step 3: Cross multiply
    52,093.71x = 71,889.21 × 28,220.97
  4. Step 4: Simplify right side
    52,093.71x = 2,028,783,238.73
  5. Step 5: Solve for x
    x = 2,028,783,238.73/52,093.71
  6. Step 6: Final answer
    x = 38,944.88

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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.