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Finding the Fourth Proportional to 33,143.80, 49,716.90 and 9,772.60

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Solution

The fourth proportional to 33,143.80, 49,716.90 and 9,772.60 is: 14,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,143.80 : 49,716.90 = 9,772.60 : x
  2. Step 2: Convert to fraction form
    33,143.80/49,716.90 = 9,772.60/x
  3. Step 3: Cross multiply
    33,143.80x = 49,716.90 × 9,772.60
  4. Step 4: Simplify right side
    33,143.80x = 485,863,376.94
  5. Step 5: Solve for x
    x = 485,863,376.94/33,143.80
  6. Step 6: Final answer
    x = 14,659.25

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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.