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Finding the Fourth Proportional to 100,351.20, 150,525.12 and 24,450

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Solution

The fourth proportional to 100,351.20, 150,525.12 and 24,450 is: 36,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,351.20 : 150,525.12 = 24,450 : x
  2. Step 2: Convert to fraction form
    100,351.20/150,525.12 = 24,450/x
  3. Step 3: Cross multiply
    100,351.20x = 150,525.12 × 24,450
  4. Step 4: Simplify right side
    100,351.20x = 3,680,339,184
  5. Step 5: Solve for x
    x = 3,680,339,184/100,351.20
  6. Step 6: Final answer
    x = 36,674.59

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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.