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Finding the Fourth Proportional to 49,728.75, 74,624.22 and 20,146.74

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Solution

The fourth proportional to 49,728.75, 74,624.22 and 20,146.74 is: 30,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,728.75 : 74,624.22 = 20,146.74 : x
  2. Step 2: Convert to fraction form
    49,728.75/74,624.22 = 20,146.74/x
  3. Step 3: Cross multiply
    49,728.75x = 74,624.22 × 20,146.74
  4. Step 4: Simplify right side
    49,728.75x = 1,503,434,758.04
  5. Step 5: Solve for x
    x = 1,503,434,758.04/49,728.75
  6. Step 6: Final answer
    x = 30,232.71

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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.