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Finding the Fourth Proportional to 38,082.52, 52,553.04 and 21,085.75

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Solution

The fourth proportional to 38,082.52, 52,553.04 and 21,085.75 is: 29,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082.52 : 52,553.04 = 21,085.75 : x
  2. Step 2: Convert to fraction form
    38,082.52/52,553.04 = 21,085.75/x
  3. Step 3: Cross multiply
    38,082.52x = 52,553.04 × 21,085.75
  4. Step 4: Simplify right side
    38,082.52x = 1,108,120,249.80
  5. Step 5: Solve for x
    x = 1,108,120,249.80/38,082.52
  6. Step 6: Final answer
    x = 29,097.87

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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.