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Finding the Fourth Proportional to 37,098, 51,195.24 and 20,331

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Solution

The fourth proportional to 37,098, 51,195.24 and 20,331 is: 28,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 51,195.24 = 20,331 : x
  2. Step 2: Convert to fraction form
    37,098/51,195.24 = 20,331/x
  3. Step 3: Cross multiply
    37,098x = 51,195.24 × 20,331
  4. Step 4: Simplify right side
    37,098x = 1,040,850,424.44
  5. Step 5: Solve for x
    x = 1,040,850,424.44/37,098
  6. Step 6: Final answer
    x = 28,056.78

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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.