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Finding the Fourth Proportional to 50,990.74, 76,375.20 and 24,640

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Solution

The fourth proportional to 50,990.74, 76,375.20 and 24,640 is: 36,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,990.74 : 76,375.20 = 24,640 : x
  2. Step 2: Convert to fraction form
    50,990.74/76,375.20 = 24,640/x
  3. Step 3: Cross multiply
    50,990.74x = 76,375.20 × 24,640
  4. Step 4: Simplify right side
    50,990.74x = 1,881,884,928
  5. Step 5: Solve for x
    x = 1,881,884,928/50,990.74
  6. Step 6: Final answer
    x = 36,906.41

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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.