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Finding the Fourth Proportional to 32,019.96, 44,182.26 and 17,872.80

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Solution

The fourth proportional to 32,019.96, 44,182.26 and 17,872.80 is: 24,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,019.96 : 44,182.26 = 17,872.80 : x
  2. Step 2: Convert to fraction form
    32,019.96/44,182.26 = 17,872.80/x
  3. Step 3: Cross multiply
    32,019.96x = 44,182.26 × 17,872.80
  4. Step 4: Simplify right side
    32,019.96x = 789,660,696.53
  5. Step 5: Solve for x
    x = 789,660,696.53/32,019.96
  6. Step 6: Final answer
    x = 24,661.51

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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.