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Finding the Fourth Proportional to 31,997.96, 44,157.12 and 17,849.96

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Solution

The fourth proportional to 31,997.96, 44,157.12 and 17,849.96 is: 24,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.96 : 44,157.12 = 17,849.96 : x
  2. Step 2: Convert to fraction form
    31,997.96/44,157.12 = 17,849.96/x
  3. Step 3: Cross multiply
    31,997.96x = 44,157.12 × 17,849.96
  4. Step 4: Simplify right side
    31,997.96x = 788,202,825.72
  5. Step 5: Solve for x
    x = 788,202,825.72/31,997.96
  6. Step 6: Final answer
    x = 24,632.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.