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Finding the Fourth Proportional to 82,467.43, 113,815.78 and 46,182.69

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Solution

The fourth proportional to 82,467.43, 113,815.78 and 46,182.69 is: 63,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.43 : 113,815.78 = 46,182.69 : x
  2. Step 2: Convert to fraction form
    82,467.43/113,815.78 = 46,182.69/x
  3. Step 3: Cross multiply
    82,467.43x = 113,815.78 × 46,182.69
  4. Step 4: Simplify right side
    82,467.43x = 5,256,318,884.85
  5. Step 5: Solve for x
    x = 5,256,318,884.85/82,467.43
  6. Step 6: Final answer
    x = 63,738.12

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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.