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Finding the Fourth Proportional to 29,982.30, 44,972.83 and 9,993.24

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Solution

The fourth proportional to 29,982.30, 44,972.83 and 9,993.24 is: 14,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,982.30 : 44,972.83 = 9,993.24 : x
  2. Step 2: Convert to fraction form
    29,982.30/44,972.83 = 9,993.24/x
  3. Step 3: Cross multiply
    29,982.30x = 44,972.83 × 9,993.24
  4. Step 4: Simplify right side
    29,982.30x = 449,424,233.70
  5. Step 5: Solve for x
    x = 449,424,233.70/29,982.30
  6. Step 6: Final answer
    x = 14,989.65

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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.