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Finding the Fourth Proportional to 32,039.02, 44,202.13 and 20,098

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Solution

The fourth proportional to 32,039.02, 44,202.13 and 20,098 is: 27,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.02 : 44,202.13 = 20,098 : x
  2. Step 2: Convert to fraction form
    32,039.02/44,202.13 = 20,098/x
  3. Step 3: Cross multiply
    32,039.02x = 44,202.13 × 20,098
  4. Step 4: Simplify right side
    32,039.02x = 888,374,408.74
  5. Step 5: Solve for x
    x = 888,374,408.74/32,039.02
  6. Step 6: Final answer
    x = 27,727.89

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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.