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Finding the Fourth Proportional to 82,107.68, 123,165.16 and 32,183.33

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Solution

The fourth proportional to 82,107.68, 123,165.16 and 32,183.33 is: 48,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.68 : 123,165.16 = 32,183.33 : x
  2. Step 2: Convert to fraction form
    82,107.68/123,165.16 = 32,183.33/x
  3. Step 3: Cross multiply
    82,107.68x = 123,165.16 × 32,183.33
  4. Step 4: Simplify right side
    82,107.68x = 3,963,864,292.50
  5. Step 5: Solve for x
    x = 3,963,864,292.50/82,107.68
  6. Step 6: Final answer
    x = 48,276.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.