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Finding the Fourth Proportional to 33,019.66, 49,527.66 and 24,144.09

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Solution

The fourth proportional to 33,019.66, 49,527.66 and 24,144.09 is: 36,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019.66 : 49,527.66 = 24,144.09 : x
  2. Step 2: Convert to fraction form
    33,019.66/49,527.66 = 24,144.09/x
  3. Step 3: Cross multiply
    33,019.66x = 49,527.66 × 24,144.09
  4. Step 4: Simplify right side
    33,019.66x = 1,195,800,280.53
  5. Step 5: Solve for x
    x = 1,195,800,280.53/33,019.66
  6. Step 6: Final answer
    x = 36,214.80

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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.