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Finding the Fourth Proportional to 54,003.44, 80,995.82 and 24,414.40

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Solution

The fourth proportional to 54,003.44, 80,995.82 and 24,414.40 is: 36,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,003.44 : 80,995.82 = 24,414.40 : x
  2. Step 2: Convert to fraction form
    54,003.44/80,995.82 = 24,414.40/x
  3. Step 3: Cross multiply
    54,003.44x = 80,995.82 × 24,414.40
  4. Step 4: Simplify right side
    54,003.44x = 1,977,463,820.76
  5. Step 5: Solve for x
    x = 1,977,463,820.76/54,003.44
  6. Step 6: Final answer
    x = 36,617.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.