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Finding the Fourth Proportional to 82,174.08, 113,400.12 and 44,448.24

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Solution

The fourth proportional to 82,174.08, 113,400.12 and 44,448.24 is: 61,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,174.08 : 113,400.12 = 44,448.24 : x
  2. Step 2: Convert to fraction form
    82,174.08/113,400.12 = 44,448.24/x
  3. Step 3: Cross multiply
    82,174.08x = 113,400.12 × 44,448.24
  4. Step 4: Simplify right side
    82,174.08x = 5,040,435,749.79
  5. Step 5: Solve for x
    x = 5,040,435,749.79/82,174.08
  6. Step 6: Final answer
    x = 61,338.51

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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.