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Finding the Fourth Proportional to 30,836.42, 42,556.48 and 17,408.82

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Solution

The fourth proportional to 30,836.42, 42,556.48 and 17,408.82 is: 24,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.42 : 42,556.48 = 17,408.82 : x
  2. Step 2: Convert to fraction form
    30,836.42/42,556.48 = 17,408.82/x
  3. Step 3: Cross multiply
    30,836.42x = 42,556.48 × 17,408.82
  4. Step 4: Simplify right side
    30,836.42x = 740,858,100.15
  5. Step 5: Solve for x
    x = 740,858,100.15/30,836.42
  6. Step 6: Final answer
    x = 24,025.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.