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Finding the Fourth Proportional to 32,069.32, 44,227 and 20,133.77

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Solution

The fourth proportional to 32,069.32, 44,227 and 20,133.77 is: 27,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,069.32 : 44,227 = 20,133.77 : x
  2. Step 2: Convert to fraction form
    32,069.32/44,227 = 20,133.77/x
  3. Step 3: Cross multiply
    32,069.32x = 44,227 × 20,133.77
  4. Step 4: Simplify right side
    32,069.32x = 890,456,245.79
  5. Step 5: Solve for x
    x = 890,456,245.79/32,069.32
  6. Step 6: Final answer
    x = 27,766.61

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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.