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Finding the Fourth Proportional to 33,188.67, 49,775.15 and 9,495.49

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Solution

The fourth proportional to 33,188.67, 49,775.15 and 9,495.49 is: 14,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.67 : 49,775.15 = 9,495.49 : x
  2. Step 2: Convert to fraction form
    33,188.67/49,775.15 = 9,495.49/x
  3. Step 3: Cross multiply
    33,188.67x = 49,775.15 × 9,495.49
  4. Step 4: Simplify right side
    33,188.67x = 472,639,439.07
  5. Step 5: Solve for x
    x = 472,639,439.07/33,188.67
  6. Step 6: Final answer
    x = 14,240.99

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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.