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Finding the Fourth Proportional to 100,615.41, 150,944.90 and 30,500.01

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Solution

The fourth proportional to 100,615.41, 150,944.90 and 30,500.01 is: 45,756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,615.41 : 150,944.90 = 30,500.01 : x
  2. Step 2: Convert to fraction form
    100,615.41/150,944.90 = 30,500.01/x
  3. Step 3: Cross multiply
    100,615.41x = 150,944.90 × 30,500.01
  4. Step 4: Simplify right side
    100,615.41x = 4,603,820,806.95
  5. Step 5: Solve for x
    x = 4,603,820,806.95/100,615.41
  6. Step 6: Final answer
    x = 45,756.62

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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.