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Finding the Fourth Proportional to 49,772.84, 68,666.82 and 34,661.48

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Solution

The fourth proportional to 49,772.84, 68,666.82 and 34,661.48 is: 47,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.84 : 68,666.82 = 34,661.48 : x
  2. Step 2: Convert to fraction form
    49,772.84/68,666.82 = 34,661.48/x
  3. Step 3: Cross multiply
    49,772.84x = 68,666.82 × 34,661.48
  4. Step 4: Simplify right side
    49,772.84x = 2,380,093,608.09
  5. Step 5: Solve for x
    x = 2,380,093,608.09/49,772.84
  6. Step 6: Final answer
    x = 47,819.12

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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.