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Finding the Fourth Proportional to 27,933.54, 41,891.31 and 9,209.22

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Solution

The fourth proportional to 27,933.54, 41,891.31 and 9,209.22 is: 13,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,933.54 : 41,891.31 = 9,209.22 : x
  2. Step 2: Convert to fraction form
    27,933.54/41,891.31 = 9,209.22/x
  3. Step 3: Cross multiply
    27,933.54x = 41,891.31 × 9,209.22
  4. Step 4: Simplify right side
    27,933.54x = 385,786,289.88
  5. Step 5: Solve for x
    x = 385,786,289.88/27,933.54
  6. Step 6: Final answer
    x = 13,810.86

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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.