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Finding the Fourth Proportional to 33,142.39, 49,706.12 and 9,449.46

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Solution

The fourth proportional to 33,142.39, 49,706.12 and 9,449.46 is: 14,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.39 : 49,706.12 = 9,449.46 : x
  2. Step 2: Convert to fraction form
    33,142.39/49,706.12 = 9,449.46/x
  3. Step 3: Cross multiply
    33,142.39x = 49,706.12 × 9,449.46
  4. Step 4: Simplify right side
    33,142.39x = 469,696,016.32
  5. Step 5: Solve for x
    x = 469,696,016.32/33,142.39
  6. Step 6: Final answer
    x = 14,172.06

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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.