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Finding the Fourth Proportional to 30,284, 41,797.68 and 17,036

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Solution

The fourth proportional to 30,284, 41,797.68 and 17,036 is: 23,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284 : 41,797.68 = 17,036 : x
  2. Step 2: Convert to fraction form
    30,284/41,797.68 = 17,036/x
  3. Step 3: Cross multiply
    30,284x = 41,797.68 × 17,036
  4. Step 4: Simplify right side
    30,284x = 712,065,276.48
  5. Step 5: Solve for x
    x = 712,065,276.48/30,284
  6. Step 6: Final answer
    x = 23,512.92

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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.