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Finding the Fourth Proportional to 100,596.52, 150,846.18 and 30,460.24

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Solution

The fourth proportional to 100,596.52, 150,846.18 and 30,460.24 is: 45,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,596.52 : 150,846.18 = 30,460.24 : x
  2. Step 2: Convert to fraction form
    100,596.52/150,846.18 = 30,460.24/x
  3. Step 3: Cross multiply
    100,596.52x = 150,846.18 × 30,460.24
  4. Step 4: Simplify right side
    100,596.52x = 4,594,810,845.88
  5. Step 5: Solve for x
    x = 4,594,810,845.88/100,596.52
  6. Step 6: Final answer
    x = 45,675.64

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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.