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Finding the Fourth Proportional to 33,193, 45,806.34 and 18,289

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Solution

The fourth proportional to 33,193, 45,806.34 and 18,289 is: 25,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193 : 45,806.34 = 18,289 : x
  2. Step 2: Convert to fraction form
    33,193/45,806.34 = 18,289/x
  3. Step 3: Cross multiply
    33,193x = 45,806.34 × 18,289
  4. Step 4: Simplify right side
    33,193x = 837,752,152.26
  5. Step 5: Solve for x
    x = 837,752,152.26/33,193
  6. Step 6: Final answer
    x = 25,238.82

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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.