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Finding the Fourth Proportional to 41,350, 57,063.60 and 30,983.40

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Solution

The fourth proportional to 41,350, 57,063.60 and 30,983.40 is: 42,757.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,350 : 57,063.60 = 30,983.40 : x
  2. Step 2: Convert to fraction form
    41,350/57,063.60 = 30,983.40/x
  3. Step 3: Cross multiply
    41,350x = 57,063.60 × 30,983.40
  4. Step 4: Simplify right side
    41,350x = 1,768,024,344.24
  5. Step 5: Solve for x
    x = 1,768,024,344.24/41,350
  6. Step 6: Final answer
    x = 42,757.54

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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.