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Finding the Fourth Proportional to 39,082.81, 58,623.70 and 9,500.56

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Solution

The fourth proportional to 39,082.81, 58,623.70 and 9,500.56 is: 14,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082.81 : 58,623.70 = 9,500.56 : x
  2. Step 2: Convert to fraction form
    39,082.81/58,623.70 = 9,500.56/x
  3. Step 3: Cross multiply
    39,082.81x = 58,623.70 × 9,500.56
  4. Step 4: Simplify right side
    39,082.81x = 556,957,979.27
  5. Step 5: Solve for x
    x = 556,957,979.27/39,082.81
  6. Step 6: Final answer
    x = 14,250.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.