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Finding the Fourth Proportional to 37,993.20, 52,419 and 22,074.60

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Solution

The fourth proportional to 37,993.20, 52,419 and 22,074.60 is: 30,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,993.20 : 52,419 = 22,074.60 : x
  2. Step 2: Convert to fraction form
    37,993.20/52,419 = 22,074.60/x
  3. Step 3: Cross multiply
    37,993.20x = 52,419 × 22,074.60
  4. Step 4: Simplify right side
    37,993.20x = 1,157,128,457.40
  5. Step 5: Solve for x
    x = 1,157,128,457.40/37,993.20
  6. Step 6: Final answer
    x = 30,456.20

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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.