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Finding the Fourth Proportional to 39,082.31, 58,622.94 and 9,500.06

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Solution

The fourth proportional to 39,082.31, 58,622.94 and 9,500.06 is: 14,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,082.31 : 58,622.94 = 9,500.06 : x
  2. Step 2: Convert to fraction form
    39,082.31/58,622.94 = 9,500.06/x
  3. Step 3: Cross multiply
    39,082.31x = 58,622.94 × 9,500.06
  4. Step 4: Simplify right side
    39,082.31x = 556,921,447.38
  5. Step 5: Solve for x
    x = 556,921,447.38/39,082.31
  6. Step 6: Final answer
    x = 14,249.96

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Why These Related Problems?

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