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Finding the Fourth Proportional to 55,282.38, 82,912.23 and 15,832.14

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Solution

The fourth proportional to 55,282.38, 82,912.23 and 15,832.14 is: 23,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282.38 : 82,912.23 = 15,832.14 : x
  2. Step 2: Convert to fraction form
    55,282.38/82,912.23 = 15,832.14/x
  3. Step 3: Cross multiply
    55,282.38x = 82,912.23 × 15,832.14
  4. Step 4: Simplify right side
    55,282.38x = 1,312,678,033.07
  5. Step 5: Solve for x
    x = 1,312,678,033.07/55,282.38
  6. Step 6: Final answer
    x = 23,744.96

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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.