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Finding the Fourth Proportional to 32,163.78, 48,229.22 and 13,438.71

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Solution

The fourth proportional to 32,163.78, 48,229.22 and 13,438.71 is: 20,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.78 : 48,229.22 = 13,438.71 : x
  2. Step 2: Convert to fraction form
    32,163.78/48,229.22 = 13,438.71/x
  3. Step 3: Cross multiply
    32,163.78x = 48,229.22 × 13,438.71
  4. Step 4: Simplify right side
    32,163.78x = 648,138,534.70
  5. Step 5: Solve for x
    x = 648,138,534.70/32,163.78
  6. Step 6: Final answer
    x = 20,151.19

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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.