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Finding the Fourth Proportional to 100,405.17, 150,512.07 and 33,811.02

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Solution

The fourth proportional to 100,405.17, 150,512.07 and 33,811.02 is: 50,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.17 : 150,512.07 = 33,811.02 : x
  2. Step 2: Convert to fraction form
    100,405.17/150,512.07 = 33,811.02/x
  3. Step 3: Cross multiply
    100,405.17x = 150,512.07 × 33,811.02
  4. Step 4: Simplify right side
    100,405.17x = 5,088,966,609.01
  5. Step 5: Solve for x
    x = 5,088,966,609.01/100,405.17
  6. Step 6: Final answer
    x = 50,684.31

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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.