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Finding the Fourth Proportional to 100,409.48, 150,614.24 and 33,844.05

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Solution

The fourth proportional to 100,409.48, 150,614.24 and 33,844.05 is: 50,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.48 : 150,614.24 = 33,844.05 : x
  2. Step 2: Convert to fraction form
    100,409.48/150,614.24 = 33,844.05/x
  3. Step 3: Cross multiply
    100,409.48x = 150,614.24 × 33,844.05
  4. Step 4: Simplify right side
    100,409.48x = 5,097,395,869.27
  5. Step 5: Solve for x
    x = 5,097,395,869.27/100,409.48
  6. Step 6: Final answer
    x = 50,766.08

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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.