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Finding the Fourth Proportional to 49,350, 68,103.27 and 26,994

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Solution

The fourth proportional to 49,350, 68,103.27 and 26,994 is: 37,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350 : 68,103.27 = 26,994 : x
  2. Step 2: Convert to fraction form
    49,350/68,103.27 = 26,994/x
  3. Step 3: Cross multiply
    49,350x = 68,103.27 × 26,994
  4. Step 4: Simplify right side
    49,350x = 1,838,379,670.38
  5. Step 5: Solve for x
    x = 1,838,379,670.38/49,350
  6. Step 6: Final answer
    x = 37,251.87

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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.