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Finding the Fourth Proportional to 33,142.50, 45,736.74 and 18,238.50

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Solution

The fourth proportional to 33,142.50, 45,736.74 and 18,238.50 is: 25,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.50 : 45,736.74 = 18,238.50 : x
  2. Step 2: Convert to fraction form
    33,142.50/45,736.74 = 18,238.50/x
  3. Step 3: Cross multiply
    33,142.50x = 45,736.74 × 18,238.50
  4. Step 4: Simplify right side
    33,142.50x = 834,169,532.49
  5. Step 5: Solve for x
    x = 834,169,532.49/33,142.50
  6. Step 6: Final answer
    x = 25,169.18

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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.