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Finding the Fourth Proportional to 50,906.54, 70,253.44 and 31,797.63

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Solution

The fourth proportional to 50,906.54, 70,253.44 and 31,797.63 is: 43,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.54 : 70,253.44 = 31,797.63 : x
  2. Step 2: Convert to fraction form
    50,906.54/70,253.44 = 31,797.63/x
  3. Step 3: Cross multiply
    50,906.54x = 70,253.44 × 31,797.63
  4. Step 4: Simplify right side
    50,906.54x = 2,233,892,811.85
  5. Step 5: Solve for x
    x = 2,233,892,811.85/50,906.54
  6. Step 6: Final answer
    x = 43,882.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.