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Finding the Fourth Proportional to 37,002, 51,063.84 and 20,236.08

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Solution

The fourth proportional to 37,002, 51,063.84 and 20,236.08 is: 27,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,002 : 51,063.84 = 20,236.08 : x
  2. Step 2: Convert to fraction form
    37,002/51,063.84 = 20,236.08/x
  3. Step 3: Cross multiply
    37,002x = 51,063.84 × 20,236.08
  4. Step 4: Simplify right side
    37,002x = 1,033,331,951.35
  5. Step 5: Solve for x
    x = 1,033,331,951.35/37,002
  6. Step 6: Final answer
    x = 27,926.38

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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.