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Finding the Fourth Proportional to 33,083.76, 49,624.82 and 8,123.61

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Solution

The fourth proportional to 33,083.76, 49,624.82 and 8,123.61 is: 12,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.76 : 49,624.82 = 8,123.61 : x
  2. Step 2: Convert to fraction form
    33,083.76/49,624.82 = 8,123.61/x
  3. Step 3: Cross multiply
    33,083.76x = 49,624.82 × 8,123.61
  4. Step 4: Simplify right side
    33,083.76x = 403,132,684.00
  5. Step 5: Solve for x
    x = 403,132,684.00/33,083.76
  6. Step 6: Final answer
    x = 12,185.21

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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.