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Finding the Fourth Proportional to 33,192.45, 49,798.40 and 9,819.49

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Solution

The fourth proportional to 33,192.45, 49,798.40 and 9,819.49 is: 14,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192.45 : 49,798.40 = 9,819.49 : x
  2. Step 2: Convert to fraction form
    33,192.45/49,798.40 = 9,819.49/x
  3. Step 3: Cross multiply
    33,192.45x = 49,798.40 × 9,819.49
  4. Step 4: Simplify right side
    33,192.45x = 488,994,890.82
  5. Step 5: Solve for x
    x = 488,994,890.82/33,192.45
  6. Step 6: Final answer
    x = 14,732.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.