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Finding the Fourth Proportional to 37,614.38, 51,906.57 and 21,698.42

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Solution

The fourth proportional to 37,614.38, 51,906.57 and 21,698.42 is: 29,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,614.38 : 51,906.57 = 21,698.42 : x
  2. Step 2: Convert to fraction form
    37,614.38/51,906.57 = 21,698.42/x
  3. Step 3: Cross multiply
    37,614.38x = 51,906.57 × 21,698.42
  4. Step 4: Simplify right side
    37,614.38x = 1,126,290,556.62
  5. Step 5: Solve for x
    x = 1,126,290,556.62/37,614.38
  6. Step 6: Final answer
    x = 29,943.08

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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.