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Finding the Fourth Proportional to 37,219.97, 51,349.34 and 27,552.42

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Solution

The fourth proportional to 37,219.97, 51,349.34 and 27,552.42 is: 38,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,219.97 : 51,349.34 = 27,552.42 : x
  2. Step 2: Convert to fraction form
    37,219.97/51,349.34 = 27,552.42/x
  3. Step 3: Cross multiply
    37,219.97x = 51,349.34 × 27,552.42
  4. Step 4: Simplify right side
    37,219.97x = 1,414,798,651.28
  5. Step 5: Solve for x
    x = 1,414,798,651.28/37,219.97
  6. Step 6: Final answer
    x = 38,011.81

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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.