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Finding the Fourth Proportional to 37,019, 51,087.44 and 20,252

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Solution

The fourth proportional to 37,019, 51,087.44 and 20,252 is: 27,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,019 : 51,087.44 = 20,252 : x
  2. Step 2: Convert to fraction form
    37,019/51,087.44 = 20,252/x
  3. Step 3: Cross multiply
    37,019x = 51,087.44 × 20,252
  4. Step 4: Simplify right side
    37,019x = 1,034,622,834.88
  5. Step 5: Solve for x
    x = 1,034,622,834.88/37,019
  6. Step 6: Final answer
    x = 27,948.43

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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.