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Finding the Fourth Proportional to 49,813, 74,731.34 and 16,981

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Solution

The fourth proportional to 49,813, 74,731.34 and 16,981 is: 25,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,813 : 74,731.34 = 16,981 : x
  2. Step 2: Convert to fraction form
    49,813/74,731.34 = 16,981/x
  3. Step 3: Cross multiply
    49,813x = 74,731.34 × 16,981
  4. Step 4: Simplify right side
    49,813x = 1,269,012,884.54
  5. Step 5: Solve for x
    x = 1,269,012,884.54/49,813
  6. Step 6: Final answer
    x = 25,475.54

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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.