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Finding the Fourth Proportional to 37,021.38, 51,090.78 and 20,254.38

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Solution

The fourth proportional to 37,021.38, 51,090.78 and 20,254.38 is: 27,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,021.38 : 51,090.78 = 20,254.38 : x
  2. Step 2: Convert to fraction form
    37,021.38/51,090.78 = 20,254.38/x
  3. Step 3: Cross multiply
    37,021.38x = 51,090.78 × 20,254.38
  4. Step 4: Simplify right side
    37,021.38x = 1,034,812,072.62
  5. Step 5: Solve for x
    x = 1,034,812,072.62/37,021.38
  6. Step 6: Final answer
    x = 27,951.74

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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.