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Finding the Fourth Proportional to 75,073.80, 103,601.84 and 41,082.30

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Solution

The fourth proportional to 75,073.80, 103,601.84 and 41,082.30 is: 56,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,073.80 : 103,601.84 = 41,082.30 : x
  2. Step 2: Convert to fraction form
    75,073.80/103,601.84 = 41,082.30/x
  3. Step 3: Cross multiply
    75,073.80x = 103,601.84 × 41,082.30
  4. Step 4: Simplify right side
    75,073.80x = 4,256,201,974.14
  5. Step 5: Solve for x
    x = 4,256,201,974.14/75,073.80
  6. Step 6: Final answer
    x = 56,693.57

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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.