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Finding the Fourth Proportional to 49,184.26, 67,874.28 and 27,964.82

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Solution

The fourth proportional to 49,184.26, 67,874.28 and 27,964.82 is: 38,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,184.26 : 67,874.28 = 27,964.82 : x
  2. Step 2: Convert to fraction form
    49,184.26/67,874.28 = 27,964.82/x
  3. Step 3: Cross multiply
    49,184.26x = 67,874.28 × 27,964.82
  4. Step 4: Simplify right side
    49,184.26x = 1,898,092,022.83
  5. Step 5: Solve for x
    x = 1,898,092,022.83/49,184.26
  6. Step 6: Final answer
    x = 38,591.45

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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.