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Finding the Fourth Proportional to 37,211.74, 51,351.83 and 20,444.38

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Solution

The fourth proportional to 37,211.74, 51,351.83 and 20,444.38 is: 28,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,211.74 : 51,351.83 = 20,444.38 : x
  2. Step 2: Convert to fraction form
    37,211.74/51,351.83 = 20,444.38/x
  3. Step 3: Cross multiply
    37,211.74x = 51,351.83 × 20,444.38
  4. Step 4: Simplify right side
    37,211.74x = 1,049,856,326.22
  5. Step 5: Solve for x
    x = 1,049,856,326.22/37,211.74
  6. Step 6: Final answer
    x = 28,213.04

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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.