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Finding the Fourth Proportional to 100,471.12, 150,601.92 and 33,888.40

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Solution

The fourth proportional to 100,471.12, 150,601.92 and 33,888.40 is: 50,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.12 : 150,601.92 = 33,888.40 : x
  2. Step 2: Convert to fraction form
    100,471.12/150,601.92 = 33,888.40/x
  3. Step 3: Cross multiply
    100,471.12x = 150,601.92 × 33,888.40
  4. Step 4: Simplify right side
    100,471.12x = 5,103,658,105.73
  5. Step 5: Solve for x
    x = 5,103,658,105.73/100,471.12
  6. Step 6: Final answer
    x = 50,797.26

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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.