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Finding the Fourth Proportional to 39,183.67, 54,122.75 and 32,854.20

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Solution

The fourth proportional to 39,183.67, 54,122.75 and 32,854.20 is: 45,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,183.67 : 54,122.75 = 32,854.20 : x
  2. Step 2: Convert to fraction form
    39,183.67/54,122.75 = 32,854.20/x
  3. Step 3: Cross multiply
    39,183.67x = 54,122.75 × 32,854.20
  4. Step 4: Simplify right side
    39,183.67x = 1,778,159,653.05
  5. Step 5: Solve for x
    x = 1,778,159,653.05/39,183.67
  6. Step 6: Final answer
    x = 45,380.12

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Why These Related Problems?

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