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Finding the Fourth Proportional to 37,286.11, 51,454.84 and 20,519.11

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Solution

The fourth proportional to 37,286.11, 51,454.84 and 20,519.11 is: 28,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,286.11 : 51,454.84 = 20,519.11 : x
  2. Step 2: Convert to fraction form
    37,286.11/51,454.84 = 20,519.11/x
  3. Step 3: Cross multiply
    37,286.11x = 51,454.84 × 20,519.11
  4. Step 4: Simplify right side
    37,286.11x = 1,055,807,611.96
  5. Step 5: Solve for x
    x = 1,055,807,611.96/37,286.11
  6. Step 6: Final answer
    x = 28,316.38

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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.