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Finding the Fourth Proportional to 75,134.56, 103,685.70 and 41,600.56

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Solution

The fourth proportional to 75,134.56, 103,685.70 and 41,600.56 is: 57,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134.56 : 103,685.70 = 41,600.56 : x
  2. Step 2: Convert to fraction form
    75,134.56/103,685.70 = 41,600.56/x
  3. Step 3: Cross multiply
    75,134.56x = 103,685.70 × 41,600.56
  4. Step 4: Simplify right side
    75,134.56x = 4,313,383,183.99
  5. Step 5: Solve for x
    x = 4,313,383,183.99/75,134.56
  6. Step 6: Final answer
    x = 57,408.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.