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Finding the Fourth Proportional to 33,230.25, 49,817.43 and 13,522.95

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Solution

The fourth proportional to 33,230.25, 49,817.43 and 13,522.95 is: 20,273.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.25 : 49,817.43 = 13,522.95 : x
  2. Step 2: Convert to fraction form
    33,230.25/49,817.43 = 13,522.95/x
  3. Step 3: Cross multiply
    33,230.25x = 49,817.43 × 13,522.95
  4. Step 4: Simplify right side
    33,230.25x = 673,678,615.02
  5. Step 5: Solve for x
    x = 673,678,615.02/33,230.25
  6. Step 6: Final answer
    x = 20,273.05

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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.