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Finding the Fourth Proportional to 75,082.50, 103,617.10 and 41,548.50

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Solution

The fourth proportional to 75,082.50, 103,617.10 and 41,548.50 is: 57,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.50 : 103,617.10 = 41,548.50 : x
  2. Step 2: Convert to fraction form
    75,082.50/103,617.10 = 41,548.50/x
  3. Step 3: Cross multiply
    75,082.50x = 103,617.10 × 41,548.50
  4. Step 4: Simplify right side
    75,082.50x = 4,305,135,079.35
  5. Step 5: Solve for x
    x = 4,305,135,079.35/75,082.50
  6. Step 6: Final answer
    x = 57,338.73

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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.