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Finding the Fourth Proportional to 71,240.86, 106,821.84 and 29,150.50

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Solution

The fourth proportional to 71,240.86, 106,821.84 and 29,150.50 is: 43,709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,240.86 : 106,821.84 = 29,150.50 : x
  2. Step 2: Convert to fraction form
    71,240.86/106,821.84 = 29,150.50/x
  3. Step 3: Cross multiply
    71,240.86x = 106,821.84 × 29,150.50
  4. Step 4: Simplify right side
    71,240.86x = 3,113,910,046.92
  5. Step 5: Solve for x
    x = 3,113,910,046.92/71,240.86
  6. Step 6: Final answer
    x = 43,709.61

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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.