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Finding the Fourth Proportional to 27,450.96, 41,176.53 and 6,674.46

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Solution

The fourth proportional to 27,450.96, 41,176.53 and 6,674.46 is: 10,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450.96 : 41,176.53 = 6,674.46 : x
  2. Step 2: Convert to fraction form
    27,450.96/41,176.53 = 6,674.46/x
  3. Step 3: Cross multiply
    27,450.96x = 41,176.53 × 6,674.46
  4. Step 4: Simplify right side
    27,450.96x = 274,831,102.42
  5. Step 5: Solve for x
    x = 274,831,102.42/27,450.96
  6. Step 6: Final answer
    x = 10,011.71

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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.