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Finding the Fourth Proportional to 49,806, 68,733.36 and 27,450

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Solution

The fourth proportional to 49,806, 68,733.36 and 27,450 is: 37,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,806 : 68,733.36 = 27,450 : x
  2. Step 2: Convert to fraction form
    49,806/68,733.36 = 27,450/x
  3. Step 3: Cross multiply
    49,806x = 68,733.36 × 27,450
  4. Step 4: Simplify right side
    49,806x = 1,886,730,732
  5. Step 5: Solve for x
    x = 1,886,730,732/49,806
  6. Step 6: Final answer
    x = 37,881.60

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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.