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Finding the Fourth Proportional to 37,222.92, 51,367.60 and 20,227.10

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Solution

The fourth proportional to 37,222.92, 51,367.60 and 20,227.10 is: 27,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,222.92 : 51,367.60 = 20,227.10 : x
  2. Step 2: Convert to fraction form
    37,222.92/51,367.60 = 20,227.10/x
  3. Step 3: Cross multiply
    37,222.92x = 51,367.60 × 20,227.10
  4. Step 4: Simplify right side
    37,222.92x = 1,039,017,350.41
  5. Step 5: Solve for x
    x = 1,039,017,350.41/37,222.92
  6. Step 6: Final answer
    x = 27,913.38

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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.