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Finding the Fourth Proportional to 49,612, 68,465.76 and 27,256

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Solution

The fourth proportional to 49,612, 68,465.76 and 27,256 is: 37,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,612 : 68,465.76 = 27,256 : x
  2. Step 2: Convert to fraction form
    49,612/68,465.76 = 27,256/x
  3. Step 3: Cross multiply
    49,612x = 68,465.76 × 27,256
  4. Step 4: Simplify right side
    49,612x = 1,866,102,754.56
  5. Step 5: Solve for x
    x = 1,866,102,754.56/49,612
  6. Step 6: Final answer
    x = 37,613.94

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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.