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Finding the Fourth Proportional to 100,367.70, 150,515.10 and 50,431.20

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Solution

The fourth proportional to 100,367.70, 150,515.10 and 50,431.20 is: 75,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,367.70 : 150,515.10 = 50,431.20 : x
  2. Step 2: Convert to fraction form
    100,367.70/150,515.10 = 50,431.20/x
  3. Step 3: Cross multiply
    100,367.70x = 150,515.10 × 50,431.20
  4. Step 4: Simplify right side
    100,367.70x = 7,590,657,111.12
  5. Step 5: Solve for x
    x = 7,590,657,111.12/100,367.70
  6. Step 6: Final answer
    x = 75,628.49

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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.