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Finding the Fourth Proportional to 100,407.44, 150,515.44 and 33,813.30

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Solution

The fourth proportional to 100,407.44, 150,515.44 and 33,813.30 is: 50,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407.44 : 150,515.44 = 33,813.30 : x
  2. Step 2: Convert to fraction form
    100,407.44/150,515.44 = 33,813.30/x
  3. Step 3: Cross multiply
    100,407.44x = 150,515.44 × 33,813.30
  4. Step 4: Simplify right side
    100,407.44x = 5,089,423,727.35
  5. Step 5: Solve for x
    x = 5,089,423,727.35/100,407.44
  6. Step 6: Final answer
    x = 50,687.72

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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.