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Finding the Fourth Proportional to 33,142, 45,735.96 and 18,238

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Solution

The fourth proportional to 33,142, 45,735.96 and 18,238 is: 25,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142 : 45,735.96 = 18,238 : x
  2. Step 2: Convert to fraction form
    33,142/45,735.96 = 18,238/x
  3. Step 3: Cross multiply
    33,142x = 45,735.96 × 18,238
  4. Step 4: Simplify right side
    33,142x = 834,132,438.48
  5. Step 5: Solve for x
    x = 834,132,438.48/33,142
  6. Step 6: Final answer
    x = 25,168.44

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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.