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Finding the Fourth Proportional to 100,406.63, 150,610.46 and 33,847.33

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Solution

The fourth proportional to 100,406.63, 150,610.46 and 33,847.33 is: 50,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.63 : 150,610.46 = 33,847.33 : x
  2. Step 2: Convert to fraction form
    100,406.63/150,610.46 = 33,847.33/x
  3. Step 3: Cross multiply
    100,406.63x = 150,610.46 × 33,847.33
  4. Step 4: Simplify right side
    100,406.63x = 5,097,761,941.07
  5. Step 5: Solve for x
    x = 5,097,761,941.07/100,406.63
  6. Step 6: Final answer
    x = 50,771.17

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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.