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Finding the Fourth Proportional to 37,734, 52,069.92 and 21,819.48

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Solution

The fourth proportional to 37,734, 52,069.92 and 21,819.48 is: 30,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,734 : 52,069.92 = 21,819.48 : x
  2. Step 2: Convert to fraction form
    37,734/52,069.92 = 21,819.48/x
  3. Step 3: Cross multiply
    37,734x = 52,069.92 × 21,819.48
  4. Step 4: Simplify right side
    37,734x = 1,136,138,578.04
  5. Step 5: Solve for x
    x = 1,136,138,578.04/37,734
  6. Step 6: Final answer
    x = 30,109.15

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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.