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Finding the Fourth Proportional to 38,161.86, 57,233.45 and 29,821.19

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Solution

The fourth proportional to 38,161.86, 57,233.45 and 29,821.19 is: 44,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161.86 : 57,233.45 = 29,821.19 : x
  2. Step 2: Convert to fraction form
    38,161.86/57,233.45 = 29,821.19/x
  3. Step 3: Cross multiply
    38,161.86x = 57,233.45 × 29,821.19
  4. Step 4: Simplify right side
    38,161.86x = 1,706,769,375.19
  5. Step 5: Solve for x
    x = 1,706,769,375.19/38,161.86
  6. Step 6: Final answer
    x = 44,724.49

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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.