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Finding the Fourth Proportional to 41,437, 57,168.07 and 27,105

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Solution

The fourth proportional to 41,437, 57,168.07 and 27,105 is: 37,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,437 : 57,168.07 = 27,105 : x
  2. Step 2: Convert to fraction form
    41,437/57,168.07 = 27,105/x
  3. Step 3: Cross multiply
    41,437x = 57,168.07 × 27,105
  4. Step 4: Simplify right side
    41,437x = 1,549,540,401.83
  5. Step 5: Solve for x
    x = 1,549,540,401.83/41,437
  6. Step 6: Final answer
    x = 37,395.09

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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.