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Finding the Fourth Proportional to 47,680.44, 71,199.57 and 38,932.44

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Solution

The fourth proportional to 47,680.44, 71,199.57 and 38,932.44 is: 58,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680.44 : 71,199.57 = 38,932.44 : x
  2. Step 2: Convert to fraction form
    47,680.44/71,199.57 = 38,932.44/x
  3. Step 3: Cross multiply
    47,680.44x = 71,199.57 × 38,932.44
  4. Step 4: Simplify right side
    47,680.44x = 2,771,972,987.05
  5. Step 5: Solve for x
    x = 2,771,972,987.05/47,680.44
  6. Step 6: Final answer
    x = 58,136.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.