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Finding the Fourth Proportional to 54,882.27, 82,343.16 and 21,583.89

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Solution

The fourth proportional to 54,882.27, 82,343.16 and 21,583.89 is: 32,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.27 : 82,343.16 = 21,583.89 : x
  2. Step 2: Convert to fraction form
    54,882.27/82,343.16 = 21,583.89/x
  3. Step 3: Cross multiply
    54,882.27x = 82,343.16 × 21,583.89
  4. Step 4: Simplify right side
    54,882.27x = 1,777,285,707.69
  5. Step 5: Solve for x
    x = 1,777,285,707.69/54,882.27
  6. Step 6: Final answer
    x = 32,383.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.