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Finding the Fourth Proportional to 50,891.70, 70,201.16 and 31,738.23

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Solution

The fourth proportional to 50,891.70, 70,201.16 and 31,738.23 is: 43,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.70 : 70,201.16 = 31,738.23 : x
  2. Step 2: Convert to fraction form
    50,891.70/70,201.16 = 31,738.23/x
  3. Step 3: Cross multiply
    50,891.70x = 70,201.16 × 31,738.23
  4. Step 4: Simplify right side
    50,891.70x = 2,228,060,474.60
  5. Step 5: Solve for x
    x = 2,228,060,474.60/50,891.70
  6. Step 6: Final answer
    x = 43,780.43

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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.