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Finding the Fourth Proportional to 82,107.72, 113,299.03 and 46,295.60

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Solution

The fourth proportional to 82,107.72, 113,299.03 and 46,295.60 is: 63,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.72 : 113,299.03 = 46,295.60 : x
  2. Step 2: Convert to fraction form
    82,107.72/113,299.03 = 46,295.60/x
  3. Step 3: Cross multiply
    82,107.72x = 113,299.03 × 46,295.60
  4. Step 4: Simplify right side
    82,107.72x = 5,245,245,891.03
  5. Step 5: Solve for x
    x = 5,245,245,891.03/82,107.72
  6. Step 6: Final answer
    x = 63,882.49

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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.