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Finding the Fourth Proportional to 82,159, 113,379.46 and 44,433.24

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Solution

The fourth proportional to 82,159, 113,379.46 and 44,433.24 is: 61,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,159 : 113,379.46 = 44,433.24 : x
  2. Step 2: Convert to fraction form
    82,159/113,379.46 = 44,433.24/x
  3. Step 3: Cross multiply
    82,159x = 113,379.46 × 44,433.24
  4. Step 4: Simplify right side
    82,159x = 5,037,816,757.25
  5. Step 5: Solve for x
    x = 5,037,816,757.25/82,159
  6. Step 6: Final answer
    x = 61,317.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.