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Finding the Fourth Proportional to 33,033.08, 49,549.53 and 8,072.84

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Solution

The fourth proportional to 33,033.08, 49,549.53 and 8,072.84 is: 12,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.08 : 49,549.53 = 8,072.84 : x
  2. Step 2: Convert to fraction form
    33,033.08/49,549.53 = 8,072.84/x
  3. Step 3: Cross multiply
    33,033.08x = 49,549.53 × 8,072.84
  4. Step 4: Simplify right side
    33,033.08x = 400,005,427.77
  5. Step 5: Solve for x
    x = 400,005,427.77/33,033.08
  6. Step 6: Final answer
    x = 12,109.24

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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.