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Finding the Fourth Proportional to 32,147.76, 44,367.84 and 19,408.20

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Solution

The fourth proportional to 32,147.76, 44,367.84 and 19,408.20 is: 26,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.76 : 44,367.84 = 19,408.20 : x
  2. Step 2: Convert to fraction form
    32,147.76/44,367.84 = 19,408.20/x
  3. Step 3: Cross multiply
    32,147.76x = 44,367.84 × 19,408.20
  4. Step 4: Simplify right side
    32,147.76x = 861,099,912.29
  5. Step 5: Solve for x
    x = 861,099,912.29/32,147.76
  6. Step 6: Final answer
    x = 26,785.69

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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.