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Finding the Fourth Proportional to 34,795.20, 47,995.48 and 20,638

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Solution

The fourth proportional to 34,795.20, 47,995.48 and 20,638 is: 28,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,795.20 : 47,995.48 = 20,638 : x
  2. Step 2: Convert to fraction form
    34,795.20/47,995.48 = 20,638/x
  3. Step 3: Cross multiply
    34,795.20x = 47,995.48 × 20,638
  4. Step 4: Simplify right side
    34,795.20x = 990,530,716.24
  5. Step 5: Solve for x
    x = 990,530,716.24/34,795.20
  6. Step 6: Final answer
    x = 28,467.45

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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.