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Finding the Fourth Proportional to 33,113.77, 49,670.78 and 8,154.41

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Solution

The fourth proportional to 33,113.77, 49,670.78 and 8,154.41 is: 12,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,113.77 : 49,670.78 = 8,154.41 : x
  2. Step 2: Convert to fraction form
    33,113.77/49,670.78 = 8,154.41/x
  3. Step 3: Cross multiply
    33,113.77x = 49,670.78 × 8,154.41
  4. Step 4: Simplify right side
    33,113.77x = 405,035,905.14
  5. Step 5: Solve for x
    x = 405,035,905.14/33,113.77
  6. Step 6: Final answer
    x = 12,231.65

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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.