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Finding the Fourth Proportional to 29,150, 43,734.22 and 10,429.62

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Solution

The fourth proportional to 29,150, 43,734.22 and 10,429.62 is: 15,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,150 : 43,734.22 = 10,429.62 : x
  2. Step 2: Convert to fraction form
    29,150/43,734.22 = 10,429.62/x
  3. Step 3: Cross multiply
    29,150x = 43,734.22 × 10,429.62
  4. Step 4: Simplify right side
    29,150x = 456,131,295.60
  5. Step 5: Solve for x
    x = 456,131,295.60/29,150
  6. Step 6: Final answer
    x = 15,647.73

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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.