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Finding the Fourth Proportional to 100,370.59, 150,556.14 and 33,857.38

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Solution

The fourth proportional to 100,370.59, 150,556.14 and 33,857.38 is: 50,786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,370.59 : 150,556.14 = 33,857.38 : x
  2. Step 2: Convert to fraction form
    100,370.59/150,556.14 = 33,857.38/x
  3. Step 3: Cross multiply
    100,370.59x = 150,556.14 × 33,857.38
  4. Step 4: Simplify right side
    100,370.59x = 5,097,436,443.31
  5. Step 5: Solve for x
    x = 5,097,436,443.31/100,370.59
  6. Step 6: Final answer
    x = 50,786.16

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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.