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Finding the Fourth Proportional to 100,272.27, 150,409.62 and 33,712.14

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Solution

The fourth proportional to 100,272.27, 150,409.62 and 33,712.14 is: 50,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272.27 : 150,409.62 = 33,712.14 : x
  2. Step 2: Convert to fraction form
    100,272.27/150,409.62 = 33,712.14/x
  3. Step 3: Cross multiply
    100,272.27x = 150,409.62 × 33,712.14
  4. Step 4: Simplify right side
    100,272.27x = 5,070,630,166.79
  5. Step 5: Solve for x
    x = 5,070,630,166.79/100,272.27
  6. Step 6: Final answer
    x = 50,568.62

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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.