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Finding the Fourth Proportional to 100,398, 150,566.28 and 33,820.27

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Solution

The fourth proportional to 100,398, 150,566.28 and 33,820.27 is: 50,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398 : 150,566.28 = 33,820.27 : x
  2. Step 2: Convert to fraction form
    100,398/150,566.28 = 33,820.27/x
  3. Step 3: Cross multiply
    100,398x = 150,566.28 × 33,820.27
  4. Step 4: Simplify right side
    100,398x = 5,092,192,242.50
  5. Step 5: Solve for x
    x = 5,092,192,242.50/100,398
  6. Step 6: Final answer
    x = 50,720.06

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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.