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Finding the Fourth Proportional to 70,082.57, 96,713.25 and 38,251.19

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Solution

The fourth proportional to 70,082.57, 96,713.25 and 38,251.19 is: 52,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,082.57 : 96,713.25 = 38,251.19 : x
  2. Step 2: Convert to fraction form
    70,082.57/96,713.25 = 38,251.19/x
  3. Step 3: Cross multiply
    70,082.57x = 96,713.25 × 38,251.19
  4. Step 4: Simplify right side
    70,082.57x = 3,699,396,901.27
  5. Step 5: Solve for x
    x = 3,699,396,901.27/70,082.57
  6. Step 6: Final answer
    x = 52,786.26

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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.