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Finding the Fourth Proportional to 131,375.44, 197,064.78 and 37,882

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Solution

The fourth proportional to 131,375.44, 197,064.78 and 37,882 is: 56,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,375.44 : 197,064.78 = 37,882 : x
  2. Step 2: Convert to fraction form
    131,375.44/197,064.78 = 37,882/x
  3. Step 3: Cross multiply
    131,375.44x = 197,064.78 × 37,882
  4. Step 4: Simplify right side
    131,375.44x = 7,465,207,995.96
  5. Step 5: Solve for x
    x = 7,465,207,995.96/131,375.44
  6. Step 6: Final answer
    x = 56,823.47

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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.