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Finding the Fourth Proportional to 37,121.91, 51,227.67 and 20,125.86

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Solution

The fourth proportional to 37,121.91, 51,227.67 and 20,125.86 is: 27,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,121.91 : 51,227.67 = 20,125.86 : x
  2. Step 2: Convert to fraction form
    37,121.91/51,227.67 = 20,125.86/x
  3. Step 3: Cross multiply
    37,121.91x = 51,227.67 × 20,125.86
  4. Step 4: Simplify right side
    37,121.91x = 1,031,000,914.55
  5. Step 5: Solve for x
    x = 1,031,000,914.55/37,121.91
  6. Step 6: Final answer
    x = 27,773.38

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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.