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Finding the Fourth Proportional to 33,596.16, 50,317.62 and 16,078.38

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Solution

The fourth proportional to 33,596.16, 50,317.62 and 16,078.38 is: 24,080.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,596.16 : 50,317.62 = 16,078.38 : x
  2. Step 2: Convert to fraction form
    33,596.16/50,317.62 = 16,078.38/x
  3. Step 3: Cross multiply
    33,596.16x = 50,317.62 × 16,078.38
  4. Step 4: Simplify right side
    33,596.16x = 809,025,815.06
  5. Step 5: Solve for x
    x = 809,025,815.06/33,596.16
  6. Step 6: Final answer
    x = 24,080.90

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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.