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Finding the Fourth Proportional to 51,960.94, 71,689.78 and 31,796.80

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Solution

The fourth proportional to 51,960.94, 71,689.78 and 31,796.80 is: 43,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,960.94 : 71,689.78 = 31,796.80 : x
  2. Step 2: Convert to fraction form
    51,960.94/71,689.78 = 31,796.80/x
  3. Step 3: Cross multiply
    51,960.94x = 71,689.78 × 31,796.80
  4. Step 4: Simplify right side
    51,960.94x = 2,279,505,596.70
  5. Step 5: Solve for x
    x = 2,279,505,596.70/51,960.94
  6. Step 6: Final answer
    x = 43,869.60

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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.