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Finding the Fourth Proportional to 33,078.80, 49,616.10 and 12,019.58

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Solution

The fourth proportional to 33,078.80, 49,616.10 and 12,019.58 is: 18,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.80 : 49,616.10 = 12,019.58 : x
  2. Step 2: Convert to fraction form
    33,078.80/49,616.10 = 12,019.58/x
  3. Step 3: Cross multiply
    33,078.80x = 49,616.10 × 12,019.58
  4. Step 4: Simplify right side
    33,078.80x = 596,364,683.24
  5. Step 5: Solve for x
    x = 596,364,683.24/33,078.80
  6. Step 6: Final answer
    x = 18,028.61

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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.