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Finding the Fourth Proportional to 100,348.54, 150,503.62 and 50,414.80

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Solution

The fourth proportional to 100,348.54, 150,503.62 and 50,414.80 is: 75,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,348.54 : 150,503.62 = 50,414.80 : x
  2. Step 2: Convert to fraction form
    100,348.54/150,503.62 = 50,414.80/x
  3. Step 3: Cross multiply
    100,348.54x = 150,503.62 × 50,414.80
  4. Step 4: Simplify right side
    100,348.54x = 7,587,609,023.02
  5. Step 5: Solve for x
    x = 7,587,609,023.02/100,348.54
  6. Step 6: Final answer
    x = 75,612.55

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1.5x scale

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.