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Finding the Fourth Proportional to 30,793.96, 46,190.94 and 12,313

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Solution

The fourth proportional to 30,793.96, 46,190.94 and 12,313 is: 18,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.96 : 46,190.94 = 12,313 : x
  2. Step 2: Convert to fraction form
    30,793.96/46,190.94 = 12,313/x
  3. Step 3: Cross multiply
    30,793.96x = 46,190.94 × 12,313
  4. Step 4: Simplify right side
    30,793.96x = 568,749,044.22
  5. Step 5: Solve for x
    x = 568,749,044.22/30,793.96
  6. Step 6: Final answer
    x = 18,469.50

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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.