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Finding the Fourth Proportional to 27,806.95, 41,714.49 and 8,082.95

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Solution

The fourth proportional to 27,806.95, 41,714.49 and 8,082.95 is: 12,125.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.95 : 41,714.49 = 8,082.95 : x
  2. Step 2: Convert to fraction form
    27,806.95/41,714.49 = 8,082.95/x
  3. Step 3: Cross multiply
    27,806.95x = 41,714.49 × 8,082.95
  4. Step 4: Simplify right side
    27,806.95x = 337,175,928.37
  5. Step 5: Solve for x
    x = 337,175,928.37/27,806.95
  6. Step 6: Final answer
    x = 12,125.60

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1.5x scale

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.