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Finding the Fourth Proportional to 37,805.27, 52,171.46 and 20,811.22

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Solution

The fourth proportional to 37,805.27, 52,171.46 and 20,811.22 is: 28,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,805.27 : 52,171.46 = 20,811.22 : x
  2. Step 2: Convert to fraction form
    37,805.27/52,171.46 = 20,811.22/x
  3. Step 3: Cross multiply
    37,805.27x = 52,171.46 × 20,811.22
  4. Step 4: Simplify right side
    37,805.27x = 1,085,751,653.38
  5. Step 5: Solve for x
    x = 1,085,751,653.38/37,805.27
  6. Step 6: Final answer
    x = 28,719.58

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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.