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Finding the Fourth Proportional to 53,401.50, 80,107.73 and 20,149.55

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Solution

The fourth proportional to 53,401.50, 80,107.73 and 20,149.55 is: 30,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,401.50 : 80,107.73 = 20,149.55 : x
  2. Step 2: Convert to fraction form
    53,401.50/80,107.73 = 20,149.55/x
  3. Step 3: Cross multiply
    53,401.50x = 80,107.73 × 20,149.55
  4. Step 4: Simplify right side
    53,401.50x = 1,614,134,711.02
  5. Step 5: Solve for x
    x = 1,614,134,711.02/53,401.50
  6. Step 6: Final answer
    x = 30,226.39

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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.