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Finding the Fourth Proportional to 49,149, 67,825.56 and 26,793

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Solution

The fourth proportional to 49,149, 67,825.56 and 26,793 is: 36,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149 : 67,825.56 = 26,793 : x
  2. Step 2: Convert to fraction form
    49,149/67,825.56 = 26,793/x
  3. Step 3: Cross multiply
    49,149x = 67,825.56 × 26,793
  4. Step 4: Simplify right side
    49,149x = 1,817,250,229.08
  5. Step 5: Solve for x
    x = 1,817,250,229.08/49,149
  6. Step 6: Final answer
    x = 36,974.31

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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.