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Finding the Fourth Proportional to 49,204, 67,901.16 and 27,983.24

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Solution

The fourth proportional to 49,204, 67,901.16 and 27,983.24 is: 38,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204 : 67,901.16 = 27,983.24 : x
  2. Step 2: Convert to fraction form
    49,204/67,901.16 = 27,983.24/x
  3. Step 3: Cross multiply
    49,204x = 67,901.16 × 27,983.24
  4. Step 4: Simplify right side
    49,204x = 1,900,094,456.56
  5. Step 5: Solve for x
    x = 1,900,094,456.56/49,204
  6. Step 6: Final answer
    x = 38,616.67

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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.