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Finding the Fourth Proportional to 27,806.54, 41,713.88 and 8,082.54

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Solution

The fourth proportional to 27,806.54, 41,713.88 and 8,082.54 is: 12,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.54 : 41,713.88 = 8,082.54 : x
  2. Step 2: Convert to fraction form
    27,806.54/41,713.88 = 8,082.54/x
  3. Step 3: Cross multiply
    27,806.54x = 41,713.88 × 8,082.54
  4. Step 4: Simplify right side
    27,806.54x = 337,153,967.43
  5. Step 5: Solve for x
    x = 337,153,967.43/27,806.54
  6. Step 6: Final answer
    x = 12,124.99

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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.