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Finding the Fourth Proportional to 35,227.20, 52,843.20 and 11,209.60

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Solution

The fourth proportional to 35,227.20, 52,843.20 and 11,209.60 is: 16,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,227.20 : 52,843.20 = 11,209.60 : x
  2. Step 2: Convert to fraction form
    35,227.20/52,843.20 = 11,209.60/x
  3. Step 3: Cross multiply
    35,227.20x = 52,843.20 × 11,209.60
  4. Step 4: Simplify right side
    35,227.20x = 592,351,134.72
  5. Step 5: Solve for x
    x = 592,351,134.72/35,227.20
  6. Step 6: Final answer
    x = 16,815.16

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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.