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Finding the Fourth Proportional to 54,774.50, 82,162.02 and 13,221.50

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Solution

The fourth proportional to 54,774.50, 82,162.02 and 13,221.50 is: 19,832.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,774.50 : 82,162.02 = 13,221.50 : x
  2. Step 2: Convert to fraction form
    54,774.50/82,162.02 = 13,221.50/x
  3. Step 3: Cross multiply
    54,774.50x = 82,162.02 × 13,221.50
  4. Step 4: Simplify right side
    54,774.50x = 1,086,305,147.43
  5. Step 5: Solve for x
    x = 1,086,305,147.43/54,774.50
  6. Step 6: Final answer
    x = 19,832.32

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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.