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Finding the Fourth Proportional to 37,726.70, 51,996.94 and 27,633.69

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Solution

The fourth proportional to 37,726.70, 51,996.94 and 27,633.69 is: 38,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,726.70 : 51,996.94 = 27,633.69 : x
  2. Step 2: Convert to fraction form
    37,726.70/51,996.94 = 27,633.69/x
  3. Step 3: Cross multiply
    37,726.70x = 51,996.94 × 27,633.69
  4. Step 4: Simplify right side
    37,726.70x = 1,436,867,251.82
  5. Step 5: Solve for x
    x = 1,436,867,251.82/37,726.70
  6. Step 6: Final answer
    x = 38,086.22

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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.