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Finding the Fourth Proportional to 27,765, 41,651.83 and 9,040.62

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Solution

The fourth proportional to 27,765, 41,651.83 and 9,040.62 is: 13,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 41,651.83 = 9,040.62 : x
  2. Step 2: Convert to fraction form
    27,765/41,651.83 = 9,040.62/x
  3. Step 3: Cross multiply
    27,765x = 41,651.83 × 9,040.62
  4. Step 4: Simplify right side
    27,765x = 376,558,367.33
  5. Step 5: Solve for x
    x = 376,558,367.33/27,765
  6. Step 6: Final answer
    x = 13,562.34

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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.