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Finding the Fourth Proportional to 27,665.70, 41,449.05 and 16,826.70

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Solution

The fourth proportional to 27,665.70, 41,449.05 and 16,826.70 is: 25,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.70 : 41,449.05 = 16,826.70 : x
  2. Step 2: Convert to fraction form
    27,665.70/41,449.05 = 16,826.70/x
  3. Step 3: Cross multiply
    27,665.70x = 41,449.05 × 16,826.70
  4. Step 4: Simplify right side
    27,665.70x = 697,450,729.64
  5. Step 5: Solve for x
    x = 697,450,729.64/27,665.70
  6. Step 6: Final answer
    x = 25,209.94

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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.