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Finding the Fourth Proportional to 82,305.38, 113,581.14 and 44,579.72

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Solution

The fourth proportional to 82,305.38, 113,581.14 and 44,579.72 is: 61,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,305.38 : 113,581.14 = 44,579.72 : x
  2. Step 2: Convert to fraction form
    82,305.38/113,581.14 = 44,579.72/x
  3. Step 3: Cross multiply
    82,305.38x = 113,581.14 × 44,579.72
  4. Step 4: Simplify right side
    82,305.38x = 5,063,415,418.48
  5. Step 5: Solve for x
    x = 5,063,415,418.48/82,305.38
  6. Step 6: Final answer
    x = 61,519.86

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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.