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Finding the Fourth Proportional to 84,143.89, 126,183.03 and 31,524.67

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Solution

The fourth proportional to 84,143.89, 126,183.03 and 31,524.67 is: 47,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.89 : 126,183.03 = 31,524.67 : x
  2. Step 2: Convert to fraction form
    84,143.89/126,183.03 = 31,524.67/x
  3. Step 3: Cross multiply
    84,143.89x = 126,183.03 × 31,524.67
  4. Step 4: Simplify right side
    84,143.89x = 3,977,878,380.35
  5. Step 5: Solve for x
    x = 3,977,878,380.35/84,143.89
  6. Step 6: Final answer
    x = 47,274.71

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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.