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Finding the Fourth Proportional to 57,200.82, 85,797.81 and 33,975.06

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Solution

The fourth proportional to 57,200.82, 85,797.81 and 33,975.06 is: 50,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,200.82 : 85,797.81 = 33,975.06 : x
  2. Step 2: Convert to fraction form
    57,200.82/85,797.81 = 33,975.06/x
  3. Step 3: Cross multiply
    57,200.82x = 85,797.81 × 33,975.06
  4. Step 4: Simplify right side
    57,200.82x = 2,914,985,742.62
  5. Step 5: Solve for x
    x = 2,914,985,742.62/57,200.82
  6. Step 6: Final answer
    x = 50,960.56

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