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Finding the Fourth Proportional to 51,963.62, 71,692.80 and 31,799.48

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Solution

The fourth proportional to 51,963.62, 71,692.80 and 31,799.48 is: 43,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,963.62 : 71,692.80 = 31,799.48 : x
  2. Step 2: Convert to fraction form
    51,963.62/71,692.80 = 31,799.48/x
  3. Step 3: Cross multiply
    51,963.62x = 71,692.80 × 31,799.48
  4. Step 4: Simplify right side
    51,963.62x = 2,279,793,759.74
  5. Step 5: Solve for x
    x = 2,279,793,759.74/51,963.62
  6. Step 6: Final answer
    x = 43,872.88

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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.