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Finding the Fourth Proportional to 82,053.70, 113,234.22 and 44,327.96

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Solution

The fourth proportional to 82,053.70, 113,234.22 and 44,327.96 is: 61,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,053.70 : 113,234.22 = 44,327.96 : x
  2. Step 2: Convert to fraction form
    82,053.70/113,234.22 = 44,327.96/x
  3. Step 3: Cross multiply
    82,053.70x = 113,234.22 × 44,327.96
  4. Step 4: Simplify right side
    82,053.70x = 5,019,441,974.79
  5. Step 5: Solve for x
    x = 5,019,441,974.79/82,053.70
  6. Step 6: Final answer
    x = 61,172.65

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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.