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Finding the Fourth Proportional to 27,685, 41,501.94 and 11,041

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Solution

The fourth proportional to 27,685, 41,501.94 and 11,041 is: 16,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685 : 41,501.94 = 11,041 : x
  2. Step 2: Convert to fraction form
    27,685/41,501.94 = 11,041/x
  3. Step 3: Cross multiply
    27,685x = 41,501.94 × 11,041
  4. Step 4: Simplify right side
    27,685x = 458,222,919.54
  5. Step 5: Solve for x
    x = 458,222,919.54/27,685
  6. Step 6: Final answer
    x = 16,551.31

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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.