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Finding the Fourth Proportional to 37,049.38, 51,129.42 and 20,282.38

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Solution

The fourth proportional to 37,049.38, 51,129.42 and 20,282.38 is: 27,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,049.38 : 51,129.42 = 20,282.38 : x
  2. Step 2: Convert to fraction form
    37,049.38/51,129.42 = 20,282.38/x
  3. Step 3: Cross multiply
    37,049.38x = 51,129.42 × 20,282.38
  4. Step 4: Simplify right side
    37,049.38x = 1,037,026,325.62
  5. Step 5: Solve for x
    x = 1,037,026,325.62/37,049.38
  6. Step 6: Final answer
    x = 27,990.38

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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.