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Finding the Fourth Proportional to 100,370.16, 150,555.50 and 33,857

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Solution

The fourth proportional to 100,370.16, 150,555.50 and 33,857 is: 50,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,370.16 : 150,555.50 = 33,857 : x
  2. Step 2: Convert to fraction form
    100,370.16/150,555.50 = 33,857/x
  3. Step 3: Cross multiply
    100,370.16x = 150,555.50 × 33,857
  4. Step 4: Simplify right side
    100,370.16x = 5,097,357,563.50
  5. Step 5: Solve for x
    x = 5,097,357,563.50/100,370.16
  6. Step 6: Final answer
    x = 50,785.59

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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.