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Finding the Fourth Proportional to 31,949.46, 44,109.09 and 20,029.14

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Solution

The fourth proportional to 31,949.46, 44,109.09 and 20,029.14 is: 27,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.46 : 44,109.09 = 20,029.14 : x
  2. Step 2: Convert to fraction form
    31,949.46/44,109.09 = 20,029.14/x
  3. Step 3: Cross multiply
    31,949.46x = 44,109.09 × 20,029.14
  4. Step 4: Simplify right side
    31,949.46x = 883,467,138.88
  5. Step 5: Solve for x
    x = 883,467,138.88/31,949.46
  6. Step 6: Final answer
    x = 27,652.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.