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Finding the Fourth Proportional to 27,672.99, 41,484.79 and 10,138.69

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Solution

The fourth proportional to 27,672.99, 41,484.79 and 10,138.69 is: 15,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.99 : 41,484.79 = 10,138.69 : x
  2. Step 2: Convert to fraction form
    27,672.99/41,484.79 = 10,138.69/x
  3. Step 3: Cross multiply
    27,672.99x = 41,484.79 × 10,138.69
  4. Step 4: Simplify right side
    27,672.99x = 420,601,425.53
  5. Step 5: Solve for x
    x = 420,601,425.53/27,672.99
  6. Step 6: Final answer
    x = 15,198.99

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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.