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Finding the Fourth Proportional to 33,083.55, 49,625.35 and 8,123.74

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Solution

The fourth proportional to 33,083.55, 49,625.35 and 8,123.74 is: 12,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.55 : 49,625.35 = 8,123.74 : x
  2. Step 2: Convert to fraction form
    33,083.55/49,625.35 = 8,123.74/x
  3. Step 3: Cross multiply
    33,083.55x = 49,625.35 × 8,123.74
  4. Step 4: Simplify right side
    33,083.55x = 403,143,296.44
  5. Step 5: Solve for x
    x = 403,143,296.44/33,083.55
  6. Step 6: Final answer
    x = 12,185.61

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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.