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Finding the Fourth Proportional to 75,495.42, 104,183.89 and 41,507.38

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Solution

The fourth proportional to 75,495.42, 104,183.89 and 41,507.38 is: 57,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495.42 : 104,183.89 = 41,507.38 : x
  2. Step 2: Convert to fraction form
    75,495.42/104,183.89 = 41,507.38/x
  3. Step 3: Cross multiply
    75,495.42x = 104,183.89 × 41,507.38
  4. Step 4: Simplify right side
    75,495.42x = 4,324,400,338.57
  5. Step 5: Solve for x
    x = 4,324,400,338.57/75,495.42
  6. Step 6: Final answer
    x = 57,280.30

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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.