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Finding the Fourth Proportional to 33,138.50, 45,729.75 and 18,031.22

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Solution

The fourth proportional to 33,138.50, 45,729.75 and 18,031.22 is: 24,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.50 : 45,729.75 = 18,031.22 : x
  2. Step 2: Convert to fraction form
    33,138.50/45,729.75 = 18,031.22/x
  3. Step 3: Cross multiply
    33,138.50x = 45,729.75 × 18,031.22
  4. Step 4: Simplify right side
    33,138.50x = 824,562,954.15
  5. Step 5: Solve for x
    x = 824,562,954.15/33,138.50
  6. Step 6: Final answer
    x = 24,882.33

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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.