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Finding the Fourth Proportional to 100,494.15, 150,757.64 and 33,938.28

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Solution

The fourth proportional to 100,494.15, 150,757.64 and 33,938.28 is: 50,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494.15 : 150,757.64 = 33,938.28 : x
  2. Step 2: Convert to fraction form
    100,494.15/150,757.64 = 33,938.28/x
  3. Step 3: Cross multiply
    100,494.15x = 150,757.64 × 33,938.28
  4. Step 4: Simplify right side
    100,494.15x = 5,116,454,828.77
  5. Step 5: Solve for x
    x = 5,116,454,828.77/100,494.15
  6. Step 6: Final answer
    x = 50,912.96

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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.