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Finding the Fourth Proportional to 30,683.97, 42,514.26 and 30,019.59

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Solution

The fourth proportional to 30,683.97, 42,514.26 and 30,019.59 is: 41,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.97 : 42,514.26 = 30,019.59 : x
  2. Step 2: Convert to fraction form
    30,683.97/42,514.26 = 30,019.59/x
  3. Step 3: Cross multiply
    30,683.97x = 42,514.26 × 30,019.59
  4. Step 4: Simplify right side
    30,683.97x = 1,276,260,654.35
  5. Step 5: Solve for x
    x = 1,276,260,654.35/30,683.97
  6. Step 6: Final answer
    x = 41,593.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.