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Finding the Fourth Proportional to 100,104.36, 150,169.65 and 36,968.81

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Solution

The fourth proportional to 100,104.36, 150,169.65 and 36,968.81 is: 55,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,104.36 : 150,169.65 = 36,968.81 : x
  2. Step 2: Convert to fraction form
    100,104.36/150,169.65 = 36,968.81/x
  3. Step 3: Cross multiply
    100,104.36x = 150,169.65 × 36,968.81
  4. Step 4: Simplify right side
    100,104.36x = 5,551,592,369.14
  5. Step 5: Solve for x
    x = 5,551,592,369.14/100,104.36
  6. Step 6: Final answer
    x = 55,458.05

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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.