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Finding the Fourth Proportional to 37,118, 51,222.84 and 20,351

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Solution

The fourth proportional to 37,118, 51,222.84 and 20,351 is: 28,084.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,118 : 51,222.84 = 20,351 : x
  2. Step 2: Convert to fraction form
    37,118/51,222.84 = 20,351/x
  3. Step 3: Cross multiply
    37,118x = 51,222.84 × 20,351
  4. Step 4: Simplify right side
    37,118x = 1,042,436,016.84
  5. Step 5: Solve for x
    x = 1,042,436,016.84/37,118
  6. Step 6: Final answer
    x = 28,084.38

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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.