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Finding the Fourth Proportional to 27,813.35, 41,720.16 and 8,092.01

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Solution

The fourth proportional to 27,813.35, 41,720.16 and 8,092.01 is: 12,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,813.35 : 41,720.16 = 8,092.01 : x
  2. Step 2: Convert to fraction form
    27,813.35/41,720.16 = 8,092.01/x
  3. Step 3: Cross multiply
    27,813.35x = 41,720.16 × 8,092.01
  4. Step 4: Simplify right side
    27,813.35x = 337,599,951.92
  5. Step 5: Solve for x
    x = 337,599,951.92/27,813.35
  6. Step 6: Final answer
    x = 12,138.05

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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.