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Finding the Fourth Proportional to 100,432.25, 150,543.28 and 33,849.39

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Solution

The fourth proportional to 100,432.25, 150,543.28 and 33,849.39 is: 50,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,432.25 : 150,543.28 = 33,849.39 : x
  2. Step 2: Convert to fraction form
    100,432.25/150,543.28 = 33,849.39/x
  3. Step 3: Cross multiply
    100,432.25x = 150,543.28 × 33,849.39
  4. Step 4: Simplify right side
    100,432.25x = 5,095,798,196.60
  5. Step 5: Solve for x
    x = 5,095,798,196.60/100,432.25
  6. Step 6: Final answer
    x = 50,738.66

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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.