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Finding the Fourth Proportional to 27,806.08, 41,713.30 and 8,082.08

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Solution

The fourth proportional to 27,806.08, 41,713.30 and 8,082.08 is: 12,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.08 : 41,713.30 = 8,082.08 : x
  2. Step 2: Convert to fraction form
    27,806.08/41,713.30 = 8,082.08/x
  3. Step 3: Cross multiply
    27,806.08x = 41,713.30 × 8,082.08
  4. Step 4: Simplify right side
    27,806.08x = 337,129,978.69
  5. Step 5: Solve for x
    x = 337,129,978.69/27,806.08
  6. Step 6: Final answer
    x = 12,124.33

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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.