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Finding the Fourth Proportional to 30,277, 41,782.26 and 17,029

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Solution

The fourth proportional to 30,277, 41,782.26 and 17,029 is: 23,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,277 : 41,782.26 = 17,029 : x
  2. Step 2: Convert to fraction form
    30,277/41,782.26 = 17,029/x
  3. Step 3: Cross multiply
    30,277x = 41,782.26 × 17,029
  4. Step 4: Simplify right side
    30,277x = 711,510,105.54
  5. Step 5: Solve for x
    x = 711,510,105.54/30,277
  6. Step 6: Final answer
    x = 23,500.02

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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.