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Finding the Fourth Proportional to 27,764, 41,650.33 and 9,039.62

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Solution

The fourth proportional to 27,764, 41,650.33 and 9,039.62 is: 13,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 41,650.33 = 9,039.62 : x
  2. Step 2: Convert to fraction form
    27,764/41,650.33 = 9,039.62/x
  3. Step 3: Cross multiply
    27,764x = 41,650.33 × 9,039.62
  4. Step 4: Simplify right side
    27,764x = 376,502,947.82
  5. Step 5: Solve for x
    x = 376,502,947.82/27,764
  6. Step 6: Final answer
    x = 13,560.83

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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.