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Finding the Fourth Proportional to 37,819.49, 52,190.19 and 20,823.36

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Solution

The fourth proportional to 37,819.49, 52,190.19 and 20,823.36 is: 28,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,819.49 : 52,190.19 = 20,823.36 : x
  2. Step 2: Convert to fraction form
    37,819.49/52,190.19 = 20,823.36/x
  3. Step 3: Cross multiply
    37,819.49x = 52,190.19 × 20,823.36
  4. Step 4: Simplify right side
    37,819.49x = 1,086,775,063.96
  5. Step 5: Solve for x
    x = 1,086,775,063.96/37,819.49
  6. Step 6: Final answer
    x = 28,735.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.