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Finding the Fourth Proportional to 27,992.88, 41,991.75 and 10,228.41

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Solution

The fourth proportional to 27,992.88, 41,991.75 and 10,228.41 is: 15,343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.88 : 41,991.75 = 10,228.41 : x
  2. Step 2: Convert to fraction form
    27,992.88/41,991.75 = 10,228.41/x
  3. Step 3: Cross multiply
    27,992.88x = 41,991.75 × 10,228.41
  4. Step 4: Simplify right side
    27,992.88x = 429,508,835.62
  5. Step 5: Solve for x
    x = 429,508,835.62/27,992.88
  6. Step 6: Final answer
    x = 15,343.50

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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.