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Finding the Fourth Proportional to 54,189.24, 81,234.66 and 24,591

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Solution

The fourth proportional to 54,189.24, 81,234.66 and 24,591 is: 36,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189.24 : 81,234.66 = 24,591 : x
  2. Step 2: Convert to fraction form
    54,189.24/81,234.66 = 24,591/x
  3. Step 3: Cross multiply
    54,189.24x = 81,234.66 × 24,591
  4. Step 4: Simplify right side
    54,189.24x = 1,997,641,524.06
  5. Step 5: Solve for x
    x = 1,997,641,524.06/54,189.24
  6. Step 6: Final answer
    x = 36,864.17

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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.