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Finding the Fourth Proportional to 37,102.56, 51,269.42 and 27,013.48

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Solution

The fourth proportional to 37,102.56, 51,269.42 and 27,013.48 is: 37,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102.56 : 51,269.42 = 27,013.48 : x
  2. Step 2: Convert to fraction form
    37,102.56/51,269.42 = 27,013.48/x
  3. Step 3: Cross multiply
    37,102.56x = 51,269.42 × 27,013.48
  4. Step 4: Simplify right side
    37,102.56x = 1,384,965,451.78
  5. Step 5: Solve for x
    x = 1,384,965,451.78/37,102.56
  6. Step 6: Final answer
    x = 37,328.03

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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.