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Finding the Fourth Proportional to 33,845.76, 50,713.14 and 23,967.30

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Solution

The fourth proportional to 33,845.76, 50,713.14 and 23,967.30 is: 35,911.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,845.76 : 50,713.14 = 23,967.30 : x
  2. Step 2: Convert to fraction form
    33,845.76/50,713.14 = 23,967.30/x
  3. Step 3: Cross multiply
    33,845.76x = 50,713.14 × 23,967.30
  4. Step 4: Simplify right side
    33,845.76x = 1,215,457,040.32
  5. Step 5: Solve for x
    x = 1,215,457,040.32/33,845.76
  6. Step 6: Final answer
    x = 35,911.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.