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Finding the Fourth Proportional to 32,651.64, 44,989.38 and 22,022.64

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Solution

The fourth proportional to 32,651.64, 44,989.38 and 22,022.64 is: 30,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.64 : 44,989.38 = 22,022.64 : x
  2. Step 2: Convert to fraction form
    32,651.64/44,989.38 = 22,022.64/x
  3. Step 3: Cross multiply
    32,651.64x = 44,989.38 × 22,022.64
  4. Step 4: Simplify right side
    32,651.64x = 990,784,919.56
  5. Step 5: Solve for x
    x = 990,784,919.56/32,651.64
  6. Step 6: Final answer
    x = 30,344.11

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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.