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Finding the Fourth Proportional to 49,755.84, 68,640.86 and 33,617.94

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Solution

The fourth proportional to 49,755.84, 68,640.86 and 33,617.94 is: 46,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,755.84 : 68,640.86 = 33,617.94 : x
  2. Step 2: Convert to fraction form
    49,755.84/68,640.86 = 33,617.94/x
  3. Step 3: Cross multiply
    49,755.84x = 68,640.86 × 33,617.94
  4. Step 4: Simplify right side
    49,755.84x = 2,307,564,313.03
  5. Step 5: Solve for x
    x = 2,307,564,313.03/49,755.84
  6. Step 6: Final answer
    x = 46,377.76

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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.