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Finding the Fourth Proportional to 53,812.44, 80,709.12 and 16,363.44

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Solution

The fourth proportional to 53,812.44, 80,709.12 and 16,363.44 is: 24,542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,812.44 : 80,709.12 = 16,363.44 : x
  2. Step 2: Convert to fraction form
    53,812.44/80,709.12 = 16,363.44/x
  3. Step 3: Cross multiply
    53,812.44x = 80,709.12 × 16,363.44
  4. Step 4: Simplify right side
    53,812.44x = 1,320,678,842.57
  5. Step 5: Solve for x
    x = 1,320,678,842.57/53,812.44
  6. Step 6: Final answer
    x = 24,542.26

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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.