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Finding the Fourth Proportional to 49,647.46, 74,524.25 and 20,084.62

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Solution

The fourth proportional to 49,647.46, 74,524.25 and 20,084.62 is: 30,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647.46 : 74,524.25 = 20,084.62 : x
  2. Step 2: Convert to fraction form
    49,647.46/74,524.25 = 20,084.62/x
  3. Step 3: Cross multiply
    49,647.46x = 74,524.25 × 20,084.62
  4. Step 4: Simplify right side
    49,647.46x = 1,496,791,141.61
  5. Step 5: Solve for x
    x = 1,496,791,141.61/49,647.46
  6. Step 6: Final answer
    x = 30,148.39

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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.