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Finding the Fourth Proportional to 100,602.36, 150,922.08 and 33,138.36

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Solution

The fourth proportional to 100,602.36, 150,922.08 and 33,138.36 is: 49,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602.36 : 150,922.08 = 33,138.36 : x
  2. Step 2: Convert to fraction form
    100,602.36/150,922.08 = 33,138.36/x
  3. Step 3: Cross multiply
    100,602.36x = 150,922.08 × 33,138.36
  4. Step 4: Simplify right side
    100,602.36x = 5,001,310,218.99
  5. Step 5: Solve for x
    x = 5,001,310,218.99/100,602.36
  6. Step 6: Final answer
    x = 49,713.65

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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.