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Finding the Fourth Proportional to 29,680.32, 44,517.75 and 9,956.32

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Solution

The fourth proportional to 29,680.32, 44,517.75 and 9,956.32 is: 14,933.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680.32 : 44,517.75 = 9,956.32 : x
  2. Step 2: Convert to fraction form
    29,680.32/44,517.75 = 9,956.32/x
  3. Step 3: Cross multiply
    29,680.32x = 44,517.75 × 9,956.32
  4. Step 4: Simplify right side
    29,680.32x = 443,232,872.05
  5. Step 5: Solve for x
    x = 443,232,872.05/29,680.32
  6. Step 6: Final answer
    x = 14,933.56

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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.