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Finding the Fourth Proportional to 32,530, 44,891.43 and 17,626

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Solution

The fourth proportional to 32,530, 44,891.43 and 17,626 is: 24,323.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530 : 44,891.43 = 17,626 : x
  2. Step 2: Convert to fraction form
    32,530/44,891.43 = 17,626/x
  3. Step 3: Cross multiply
    32,530x = 44,891.43 × 17,626
  4. Step 4: Simplify right side
    32,530x = 791,256,345.18
  5. Step 5: Solve for x
    x = 791,256,345.18/32,530
  6. Step 6: Final answer
    x = 24,323.90

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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.