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Finding the Fourth Proportional to 55,296.82, 82,942.50 and 20,233.76

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Solution

The fourth proportional to 55,296.82, 82,942.50 and 20,233.76 is: 30,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296.82 : 82,942.50 = 20,233.76 : x
  2. Step 2: Convert to fraction form
    55,296.82/82,942.50 = 20,233.76/x
  3. Step 3: Cross multiply
    55,296.82x = 82,942.50 × 20,233.76
  4. Step 4: Simplify right side
    55,296.82x = 1,678,238,638.80
  5. Step 5: Solve for x
    x = 1,678,238,638.80/55,296.82
  6. Step 6: Final answer
    x = 30,349.64

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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.