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Finding the Fourth Proportional to 37,322.31, 51,508.43 and 27,874.47

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Solution

The fourth proportional to 37,322.31, 51,508.43 and 27,874.47 is: 38,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,322.31 : 51,508.43 = 27,874.47 : x
  2. Step 2: Convert to fraction form
    37,322.31/51,508.43 = 27,874.47/x
  3. Step 3: Cross multiply
    37,322.31x = 51,508.43 × 27,874.47
  4. Step 4: Simplify right side
    37,322.31x = 1,435,770,047.41
  5. Step 5: Solve for x
    x = 1,435,770,047.41/37,322.31
  6. Step 6: Final answer
    x = 38,469.49

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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.