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Finding the Fourth Proportional to 54,142.70, 81,201.90 and 35,553.20

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Solution

The fourth proportional to 54,142.70, 81,201.90 and 35,553.20 is: 53,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.70 : 81,201.90 = 35,553.20 : x
  2. Step 2: Convert to fraction form
    54,142.70/81,201.90 = 35,553.20/x
  3. Step 3: Cross multiply
    54,142.70x = 81,201.90 × 35,553.20
  4. Step 4: Simplify right side
    54,142.70x = 2,886,987,391.08
  5. Step 5: Solve for x
    x = 2,886,987,391.08/54,142.70
  6. Step 6: Final answer
    x = 53,321.82

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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.