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Finding the Fourth Proportional to 30,691, 42,170 and 24,392.44

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Solution

The fourth proportional to 30,691, 42,170 and 24,392.44 is: 33,515.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691 : 42,170 = 24,392.44 : x
  2. Step 2: Convert to fraction form
    30,691/42,170 = 24,392.44/x
  3. Step 3: Cross multiply
    30,691x = 42,170 × 24,392.44
  4. Step 4: Simplify right side
    30,691x = 1,028,629,194.80
  5. Step 5: Solve for x
    x = 1,028,629,194.80/30,691
  6. Step 6: Final answer
    x = 33,515.66

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.