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Finding the Fourth Proportional to 57,202.92, 78,933.66 and 33,324.60

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Solution

The fourth proportional to 57,202.92, 78,933.66 and 33,324.60 is: 45,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.92 : 78,933.66 = 33,324.60 : x
  2. Step 2: Convert to fraction form
    57,202.92/78,933.66 = 33,324.60/x
  3. Step 3: Cross multiply
    57,202.92x = 78,933.66 × 33,324.60
  4. Step 4: Simplify right side
    57,202.92x = 2,630,432,646.04
  5. Step 5: Solve for x
    x = 2,630,432,646.04/57,202.92
  6. Step 6: Final answer
    x = 45,984.24

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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.