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Finding the Fourth Proportional to 49,211.92, 67,969.11 and 35,842.96

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Solution

The fourth proportional to 49,211.92, 67,969.11 and 35,842.96 is: 49,504.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,211.92 : 67,969.11 = 35,842.96 : x
  2. Step 2: Convert to fraction form
    49,211.92/67,969.11 = 35,842.96/x
  3. Step 3: Cross multiply
    49,211.92x = 67,969.11 × 35,842.96
  4. Step 4: Simplify right side
    49,211.92x = 2,436,214,090.97
  5. Step 5: Solve for x
    x = 2,436,214,090.97/49,211.92
  6. Step 6: Final answer
    x = 49,504.55

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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.