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Finding the Fourth Proportional to 30,997.34, 42,736.74 and 20,076.19

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Solution

The fourth proportional to 30,997.34, 42,736.74 and 20,076.19 is: 27,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.34 : 42,736.74 = 20,076.19 : x
  2. Step 2: Convert to fraction form
    30,997.34/42,736.74 = 20,076.19/x
  3. Step 3: Cross multiply
    30,997.34x = 42,736.74 × 20,076.19
  4. Step 4: Simplify right side
    30,997.34x = 857,990,912.22
  5. Step 5: Solve for x
    x = 857,990,912.22/30,997.34
  6. Step 6: Final answer
    x = 27,679.50

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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.