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Finding the Fourth Proportional to 33,078.06, 49,615.88 and 8,118.18

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Solution

The fourth proportional to 33,078.06, 49,615.88 and 8,118.18 is: 12,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.06 : 49,615.88 = 8,118.18 : x
  2. Step 2: Convert to fraction form
    33,078.06/49,615.88 = 8,118.18/x
  3. Step 3: Cross multiply
    33,078.06x = 49,615.88 × 8,118.18
  4. Step 4: Simplify right side
    33,078.06x = 402,790,604.11
  5. Step 5: Solve for x
    x = 402,790,604.11/33,078.06
  6. Step 6: Final answer
    x = 12,176.97

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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.