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Finding the Fourth Proportional to 82,364.92, 123,406.20 and 55,296.56

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Solution

The fourth proportional to 82,364.92, 123,406.20 and 55,296.56 is: 82,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,364.92 : 123,406.20 = 55,296.56 : x
  2. Step 2: Convert to fraction form
    82,364.92/123,406.20 = 55,296.56/x
  3. Step 3: Cross multiply
    82,364.92x = 123,406.20 × 55,296.56
  4. Step 4: Simplify right side
    82,364.92x = 6,823,938,342.67
  5. Step 5: Solve for x
    x = 6,823,938,342.67/82,364.92
  6. Step 6: Final answer
    x = 82,850.06

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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.