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Finding the Fourth Proportional to 29,471.22, 44,213.49 and 9,749.73

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Solution

The fourth proportional to 29,471.22, 44,213.49 and 9,749.73 is: 14,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,471.22 : 44,213.49 = 9,749.73 : x
  2. Step 2: Convert to fraction form
    29,471.22/44,213.49 = 9,749.73/x
  3. Step 3: Cross multiply
    29,471.22x = 44,213.49 × 9,749.73
  4. Step 4: Simplify right side
    29,471.22x = 431,069,589.86
  5. Step 5: Solve for x
    x = 431,069,589.86/29,471.22
  6. Step 6: Final answer
    x = 14,626.80

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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.