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Finding the Fourth Proportional to 102,049.55, 153,052.46 and 31,919.75

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Solution

The fourth proportional to 102,049.55, 153,052.46 and 31,919.75 is: 47,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,049.55 : 153,052.46 = 31,919.75 : x
  2. Step 2: Convert to fraction form
    102,049.55/153,052.46 = 31,919.75/x
  3. Step 3: Cross multiply
    102,049.55x = 153,052.46 × 31,919.75
  4. Step 4: Simplify right side
    102,049.55x = 4,885,396,100.49
  5. Step 5: Solve for x
    x = 4,885,396,100.49/102,049.55
  6. Step 6: Final answer
    x = 47,872.78

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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.