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Finding the Fourth Proportional to 33,199.38, 49,806.36 and 9,827.64

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Solution

The fourth proportional to 33,199.38, 49,806.36 and 9,827.64 is: 14,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.38 : 49,806.36 = 9,827.64 : x
  2. Step 2: Convert to fraction form
    33,199.38/49,806.36 = 9,827.64/x
  3. Step 3: Cross multiply
    33,199.38x = 49,806.36 × 9,827.64
  4. Step 4: Simplify right side
    33,199.38x = 489,478,975.79
  5. Step 5: Solve for x
    x = 489,478,975.79/33,199.38
  6. Step 6: Final answer
    x = 14,743.62

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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.