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Finding the Fourth Proportional to 27,647.99, 38,142.21 and 17,571.03

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Solution

The fourth proportional to 27,647.99, 38,142.21 and 17,571.03 is: 24,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.99 : 38,142.21 = 17,571.03 : x
  2. Step 2: Convert to fraction form
    27,647.99/38,142.21 = 17,571.03/x
  3. Step 3: Cross multiply
    27,647.99x = 38,142.21 × 17,571.03
  4. Step 4: Simplify right side
    27,647.99x = 670,197,839.03
  5. Step 5: Solve for x
    x = 670,197,839.03/27,647.99
  6. Step 6: Final answer
    x = 24,240.38

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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.