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Finding the Fourth Proportional to 33,146.76, 49,712.82 and 9,767.73

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Solution

The fourth proportional to 33,146.76, 49,712.82 and 9,767.73 is: 14,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.76 : 49,712.82 = 9,767.73 : x
  2. Step 2: Convert to fraction form
    33,146.76/49,712.82 = 9,767.73/x
  3. Step 3: Cross multiply
    33,146.76x = 49,712.82 × 9,767.73
  4. Step 4: Simplify right side
    33,146.76x = 485,581,403.30
  5. Step 5: Solve for x
    x = 485,581,403.30/33,146.76
  6. Step 6: Final answer
    x = 14,649.44

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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.