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Finding the Fourth Proportional to 49,207.76, 67,912.16 and 27,698.17

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Solution

The fourth proportional to 49,207.76, 67,912.16 and 27,698.17 is: 38,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207.76 : 67,912.16 = 27,698.17 : x
  2. Step 2: Convert to fraction form
    49,207.76/67,912.16 = 27,698.17/x
  3. Step 3: Cross multiply
    49,207.76x = 67,912.16 × 27,698.17
  4. Step 4: Simplify right side
    49,207.76x = 1,881,042,452.21
  5. Step 5: Solve for x
    x = 1,881,042,452.21/49,207.76
  6. Step 6: Final answer
    x = 38,226.54

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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.