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Finding the Fourth Proportional to 49,947.92, 68,926.97 and 27,287

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Solution

The fourth proportional to 49,947.92, 68,926.97 and 27,287 is: 37,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947.92 : 68,926.97 = 27,287 : x
  2. Step 2: Convert to fraction form
    49,947.92/68,926.97 = 27,287/x
  3. Step 3: Cross multiply
    49,947.92x = 68,926.97 × 27,287
  4. Step 4: Simplify right side
    49,947.92x = 1,880,810,230.39
  5. Step 5: Solve for x
    x = 1,880,810,230.39/49,947.92
  6. Step 6: Final answer
    x = 37,655.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.