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Finding the Fourth Proportional to 100,097.92, 150,206.04 and 36,962.26

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Solution

The fourth proportional to 100,097.92, 150,206.04 and 36,962.26 is: 55,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.92 : 150,206.04 = 36,962.26 : x
  2. Step 2: Convert to fraction form
    100,097.92/150,206.04 = 36,962.26/x
  3. Step 3: Cross multiply
    100,097.92x = 150,206.04 × 36,962.26
  4. Step 4: Simplify right side
    100,097.92x = 5,551,954,704.05
  5. Step 5: Solve for x
    x = 5,551,954,704.05/100,097.92
  6. Step 6: Final answer
    x = 55,465.24

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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.