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Finding the Fourth Proportional to 32,183.43, 44,415.74 and 17,847.74

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Solution

The fourth proportional to 32,183.43, 44,415.74 and 17,847.74 is: 24,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.43 : 44,415.74 = 17,847.74 : x
  2. Step 2: Convert to fraction form
    32,183.43/44,415.74 = 17,847.74/x
  3. Step 3: Cross multiply
    32,183.43x = 44,415.74 × 17,847.74
  4. Step 4: Simplify right side
    32,183.43x = 792,720,579.43
  5. Step 5: Solve for x
    x = 792,720,579.43/32,183.43
  6. Step 6: Final answer
    x = 24,631.33

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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.