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Finding the Fourth Proportional to 100,349.74, 150,540.07 and 33,784.65

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Solution

The fourth proportional to 100,349.74, 150,540.07 and 33,784.65 is: 50,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,349.74 : 150,540.07 = 33,784.65 : x
  2. Step 2: Convert to fraction form
    100,349.74/150,540.07 = 33,784.65/x
  3. Step 3: Cross multiply
    100,349.74x = 150,540.07 × 33,784.65
  4. Step 4: Simplify right side
    100,349.74x = 5,085,943,575.93
  5. Step 5: Solve for x
    x = 5,085,943,575.93/100,349.74
  6. Step 6: Final answer
    x = 50,682.18

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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.