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Finding the Fourth Proportional to 33,193.24, 45,806.70 and 18,289.24

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Solution

The fourth proportional to 33,193.24, 45,806.70 and 18,289.24 is: 25,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.24 : 45,806.70 = 18,289.24 : x
  2. Step 2: Convert to fraction form
    33,193.24/45,806.70 = 18,289.24/x
  3. Step 3: Cross multiply
    33,193.24x = 45,806.70 × 18,289.24
  4. Step 4: Simplify right side
    33,193.24x = 837,769,729.91
  5. Step 5: Solve for x
    x = 837,769,729.91/33,193.24
  6. Step 6: Final answer
    x = 25,239.17

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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.