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Finding the Fourth Proportional to 27,105.91, 37,406.10 and 15,169.14

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Solution

The fourth proportional to 27,105.91, 37,406.10 and 15,169.14 is: 20,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.91 : 37,406.10 = 15,169.14 : x
  2. Step 2: Convert to fraction form
    27,105.91/37,406.10 = 15,169.14/x
  3. Step 3: Cross multiply
    27,105.91x = 37,406.10 × 15,169.14
  4. Step 4: Simplify right side
    27,105.91x = 567,418,424.64
  5. Step 5: Solve for x
    x = 567,418,424.64/27,105.91
  6. Step 6: Final answer
    x = 20,933.39

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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.