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Finding the Fourth Proportional to 53,836.44, 80,745.12 and 16,387.44

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Solution

The fourth proportional to 53,836.44, 80,745.12 and 16,387.44 is: 24,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,836.44 : 80,745.12 = 16,387.44 : x
  2. Step 2: Convert to fraction form
    53,836.44/80,745.12 = 16,387.44/x
  3. Step 3: Cross multiply
    53,836.44x = 80,745.12 × 16,387.44
  4. Step 4: Simplify right side
    53,836.44x = 1,323,205,809.29
  5. Step 5: Solve for x
    x = 1,323,205,809.29/53,836.44
  6. Step 6: Final answer
    x = 24,578.26

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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.