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Finding the Fourth Proportional to 29,806.22, 44,709.29 and 7,619.62

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Solution

The fourth proportional to 29,806.22, 44,709.29 and 7,619.62 is: 11,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.22 : 44,709.29 = 7,619.62 : x
  2. Step 2: Convert to fraction form
    29,806.22/44,709.29 = 7,619.62/x
  3. Step 3: Cross multiply
    29,806.22x = 44,709.29 × 7,619.62
  4. Step 4: Simplify right side
    29,806.22x = 340,667,800.27
  5. Step 5: Solve for x
    x = 340,667,800.27/29,806.22
  6. Step 6: Final answer
    x = 11,429.42

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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.