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Finding the Fourth Proportional to 27,480.80, 41,213.10 and 10,835.30

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Solution

The fourth proportional to 27,480.80, 41,213.10 and 10,835.30 is: 16,249.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,480.80 : 41,213.10 = 10,835.30 : x
  2. Step 2: Convert to fraction form
    27,480.80/41,213.10 = 10,835.30/x
  3. Step 3: Cross multiply
    27,480.80x = 41,213.10 × 10,835.30
  4. Step 4: Simplify right side
    27,480.80x = 446,556,302.43
  5. Step 5: Solve for x
    x = 446,556,302.43/27,480.80
  6. Step 6: Final answer
    x = 16,249.76

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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.