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Finding the Fourth Proportional to 67,057.75, 100,433.49 and 32,022.01

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Solution

The fourth proportional to 67,057.75, 100,433.49 and 32,022.01 is: 47,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057.75 : 100,433.49 = 32,022.01 : x
  2. Step 2: Convert to fraction form
    67,057.75/100,433.49 = 32,022.01/x
  3. Step 3: Cross multiply
    67,057.75x = 100,433.49 × 32,022.01
  4. Step 4: Simplify right side
    67,057.75x = 3,216,082,221.11
  5. Step 5: Solve for x
    x = 3,216,082,221.11/67,057.75
  6. Step 6: Final answer
    x = 47,959.89

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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.