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Finding the Fourth Proportional to 49,650, 68,517 and 27,294

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Solution

The fourth proportional to 49,650, 68,517 and 27,294 is: 37,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650 : 68,517 = 27,294 : x
  2. Step 2: Convert to fraction form
    49,650/68,517 = 27,294/x
  3. Step 3: Cross multiply
    49,650x = 68,517 × 27,294
  4. Step 4: Simplify right side
    49,650x = 1,870,102,998
  5. Step 5: Solve for x
    x = 1,870,102,998/49,650
  6. Step 6: Final answer
    x = 37,665.72

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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.