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Finding the Fourth Proportional to 49,161.78, 67,871.25 and 32,443.38

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Solution

The fourth proportional to 49,161.78, 67,871.25 and 32,443.38 is: 44,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,161.78 : 67,871.25 = 32,443.38 : x
  2. Step 2: Convert to fraction form
    49,161.78/67,871.25 = 32,443.38/x
  3. Step 3: Cross multiply
    49,161.78x = 67,871.25 × 32,443.38
  4. Step 4: Simplify right side
    49,161.78x = 2,201,972,754.83
  5. Step 5: Solve for x
    x = 2,201,972,754.83/49,161.78
  6. Step 6: Final answer
    x = 44,790.34

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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.