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Finding the Fourth Proportional to 82,255.38, 113,512.68 and 44,529.54

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Solution

The fourth proportional to 82,255.38, 113,512.68 and 44,529.54 is: 61,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,255.38 : 113,512.68 = 44,529.54 : x
  2. Step 2: Convert to fraction form
    82,255.38/113,512.68 = 44,529.54/x
  3. Step 3: Cross multiply
    82,255.38x = 113,512.68 × 44,529.54
  4. Step 4: Simplify right side
    82,255.38x = 5,054,667,424.57
  5. Step 5: Solve for x
    x = 5,054,667,424.57/82,255.38
  6. Step 6: Final answer
    x = 61,450.90

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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.