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Finding the Fourth Proportional to 57,180.83, 85,656.42 and 32,183.42

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Solution

The fourth proportional to 57,180.83, 85,656.42 and 32,183.42 is: 48,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180.83 : 85,656.42 = 32,183.42 : x
  2. Step 2: Convert to fraction form
    57,180.83/85,656.42 = 32,183.42/x
  3. Step 3: Cross multiply
    57,180.83x = 85,656.42 × 32,183.42
  4. Step 4: Simplify right side
    57,180.83x = 2,756,716,112.27
  5. Step 5: Solve for x
    x = 2,756,716,112.27/57,180.83
  6. Step 6: Final answer
    x = 48,210.50

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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.