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Finding the Fourth Proportional to 29,806.38, 44,709.42 and 7,619.73

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Solution

The fourth proportional to 29,806.38, 44,709.42 and 7,619.73 is: 11,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.38 : 44,709.42 = 7,619.73 : x
  2. Step 2: Convert to fraction form
    29,806.38/44,709.42 = 7,619.73/x
  3. Step 3: Cross multiply
    29,806.38x = 44,709.42 × 7,619.73
  4. Step 4: Simplify right side
    29,806.38x = 340,673,708.86
  5. Step 5: Solve for x
    x = 340,673,708.86/29,806.38
  6. Step 6: Final answer
    x = 11,429.56

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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.