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Finding the Fourth Proportional to 100,409.12, 150,614.20 and 33,849.84

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Solution

The fourth proportional to 100,409.12, 150,614.20 and 33,849.84 is: 50,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.12 : 150,614.20 = 33,849.84 : x
  2. Step 2: Convert to fraction form
    100,409.12/150,614.20 = 33,849.84/x
  3. Step 3: Cross multiply
    100,409.12x = 150,614.20 × 33,849.84
  4. Step 4: Simplify right side
    100,409.12x = 5,098,266,571.73
  5. Step 5: Solve for x
    x = 5,098,266,571.73/100,409.12
  6. Step 6: Final answer
    x = 50,774.94

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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.