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Finding the Fourth Proportional to 37,082.25, 51,175.67 and 21,171.69

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Solution

The fourth proportional to 37,082.25, 51,175.67 and 21,171.69 is: 29,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,082.25 : 51,175.67 = 21,171.69 : x
  2. Step 2: Convert to fraction form
    37,082.25/51,175.67 = 21,171.69/x
  3. Step 3: Cross multiply
    37,082.25x = 51,175.67 × 21,171.69
  4. Step 4: Simplify right side
    37,082.25x = 1,083,475,314.92
  5. Step 5: Solve for x
    x = 1,083,475,314.92/37,082.25
  6. Step 6: Final answer
    x = 29,218.17

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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.