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Finding the Fourth Proportional to 27,812.82, 41,716.80 and 10,282.80

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Solution

The fourth proportional to 27,812.82, 41,716.80 and 10,282.80 is: 15,423.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.82 : 41,716.80 = 10,282.80 : x
  2. Step 2: Convert to fraction form
    27,812.82/41,716.80 = 10,282.80/x
  3. Step 3: Cross multiply
    27,812.82x = 41,716.80 × 10,282.80
  4. Step 4: Simplify right side
    27,812.82x = 428,965,511.04
  5. Step 5: Solve for x
    x = 428,965,511.04/27,812.82
  6. Step 6: Final answer
    x = 15,423.30

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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.