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Finding the Fourth Proportional to 30,951.75, 46,446.75 and 12,228.60

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Solution

The fourth proportional to 30,951.75, 46,446.75 and 12,228.60 is: 18,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,951.75 : 46,446.75 = 12,228.60 : x
  2. Step 2: Convert to fraction form
    30,951.75/46,446.75 = 12,228.60/x
  3. Step 3: Cross multiply
    30,951.75x = 46,446.75 × 12,228.60
  4. Step 4: Simplify right side
    30,951.75x = 567,978,727.05
  5. Step 5: Solve for x
    x = 567,978,727.05/30,951.75
  6. Step 6: Final answer
    x = 18,350.46

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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.