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Finding the Fourth Proportional to 33,138.49, 45,729.74 and 18,031.21

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Solution

The fourth proportional to 33,138.49, 45,729.74 and 18,031.21 is: 24,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,138.49 : 45,729.74 = 18,031.21 : x
  2. Step 2: Convert to fraction form
    33,138.49/45,729.74 = 18,031.21/x
  3. Step 3: Cross multiply
    33,138.49x = 45,729.74 × 18,031.21
  4. Step 4: Simplify right side
    33,138.49x = 824,562,545.19
  5. Step 5: Solve for x
    x = 824,562,545.19/33,138.49
  6. Step 6: Final answer
    x = 24,882.32

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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.