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Finding the Fourth Proportional to 131,757.52, 197,636.70 and 31,917.52

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Solution

The fourth proportional to 131,757.52, 197,636.70 and 31,917.52 is: 47,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,757.52 : 197,636.70 = 31,917.52 : x
  2. Step 2: Convert to fraction form
    131,757.52/197,636.70 = 31,917.52/x
  3. Step 3: Cross multiply
    131,757.52x = 197,636.70 × 31,917.52
  4. Step 4: Simplify right side
    131,757.52x = 6,308,073,324.98
  5. Step 5: Solve for x
    x = 6,308,073,324.98/131,757.52
  6. Step 6: Final answer
    x = 47,876.38

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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.