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Finding the Fourth Proportional to 30,469.54, 45,704.21 and 10,743.34

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Solution

The fourth proportional to 30,469.54, 45,704.21 and 10,743.34 is: 16,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.54 : 45,704.21 = 10,743.34 : x
  2. Step 2: Convert to fraction form
    30,469.54/45,704.21 = 10,743.34/x
  3. Step 3: Cross multiply
    30,469.54x = 45,704.21 × 10,743.34
  4. Step 4: Simplify right side
    30,469.54x = 491,015,867.46
  5. Step 5: Solve for x
    x = 491,015,867.46/30,469.54
  6. Step 6: Final answer
    x = 16,114.97

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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.