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Finding the Fourth Proportional to 82,245.22, 113,498.49 and 44,519.38

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Solution

The fourth proportional to 82,245.22, 113,498.49 and 44,519.38 is: 61,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,245.22 : 113,498.49 = 44,519.38 : x
  2. Step 2: Convert to fraction form
    82,245.22/113,498.49 = 44,519.38/x
  3. Step 3: Cross multiply
    82,245.22x = 113,498.49 × 44,519.38
  4. Step 4: Simplify right side
    82,245.22x = 5,052,882,405.74
  5. Step 5: Solve for x
    x = 5,052,882,405.74/82,245.22
  6. Step 6: Final answer
    x = 61,436.79

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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.