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Finding the Fourth Proportional to 131,042.25, 196,563.38 and 37,548

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Solution

The fourth proportional to 131,042.25, 196,563.38 and 37,548 is: 56,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,042.25 : 196,563.38 = 37,548 : x
  2. Step 2: Convert to fraction form
    131,042.25/196,563.38 = 37,548/x
  3. Step 3: Cross multiply
    131,042.25x = 196,563.38 × 37,548
  4. Step 4: Simplify right side
    131,042.25x = 7,380,561,604.50
  5. Step 5: Solve for x
    x = 7,380,561,604.50/131,042.25
  6. Step 6: Final answer
    x = 56,322

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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.