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Finding the Fourth Proportional to 27,649.77, 41,478.84 and 10,115.43

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Solution

The fourth proportional to 27,649.77, 41,478.84 and 10,115.43 is: 15,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649.77 : 41,478.84 = 10,115.43 : x
  2. Step 2: Convert to fraction form
    27,649.77/41,478.84 = 10,115.43/x
  3. Step 3: Cross multiply
    27,649.77x = 41,478.84 × 10,115.43
  4. Step 4: Simplify right side
    27,649.77x = 419,576,302.50
  5. Step 5: Solve for x
    x = 419,576,302.50/27,649.77
  6. Step 6: Final answer
    x = 15,174.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.