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Finding the Fourth Proportional to 30,286.57, 41,777.74 and 19,683.26

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Solution

The fourth proportional to 30,286.57, 41,777.74 and 19,683.26 is: 27,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.57 : 41,777.74 = 19,683.26 : x
  2. Step 2: Convert to fraction form
    30,286.57/41,777.74 = 19,683.26/x
  3. Step 3: Cross multiply
    30,286.57x = 41,777.74 × 19,683.26
  4. Step 4: Simplify right side
    30,286.57x = 822,322,118.63
  5. Step 5: Solve for x
    x = 822,322,118.63/30,286.57
  6. Step 6: Final answer
    x = 27,151.38

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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.