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Finding the Fourth Proportional to 100,409.44, 150,518.44 and 33,815.30

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Solution

The fourth proportional to 100,409.44, 150,518.44 and 33,815.30 is: 50,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.44 : 150,518.44 = 33,815.30 : x
  2. Step 2: Convert to fraction form
    100,409.44/150,518.44 = 33,815.30/x
  3. Step 3: Cross multiply
    100,409.44x = 150,518.44 × 33,815.30
  4. Step 4: Simplify right side
    100,409.44x = 5,089,826,204.13
  5. Step 5: Solve for x
    x = 5,089,826,204.13/100,409.44
  6. Step 6: Final answer
    x = 50,690.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.