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Finding the Fourth Proportional to 37,186.78, 51,274.38 and 27,738.94

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Solution

The fourth proportional to 37,186.78, 51,274.38 and 27,738.94 is: 38,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186.78 : 51,274.38 = 27,738.94 : x
  2. Step 2: Convert to fraction form
    37,186.78/51,274.38 = 27,738.94/x
  3. Step 3: Cross multiply
    37,186.78x = 51,274.38 × 27,738.94
  4. Step 4: Simplify right side
    37,186.78x = 1,422,296,950.36
  5. Step 5: Solve for x
    x = 1,422,296,950.36/37,186.78
  6. Step 6: Final answer
    x = 38,247.38

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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.