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Finding the Fourth Proportional to 82,505.52, 123,757.20 and 20,176.56

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Solution

The fourth proportional to 82,505.52, 123,757.20 and 20,176.56 is: 30,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.52 : 123,757.20 = 20,176.56 : x
  2. Step 2: Convert to fraction form
    82,505.52/123,757.20 = 20,176.56/x
  3. Step 3: Cross multiply
    82,505.52x = 123,757.20 × 20,176.56
  4. Step 4: Simplify right side
    82,505.52x = 2,496,994,571.23
  5. Step 5: Solve for x
    x = 2,496,994,571.23/82,505.52
  6. Step 6: Final answer
    x = 30,264.58

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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.