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Finding the Fourth Proportional to 30,910.58, 42,644.52 and 20,168.09

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Solution

The fourth proportional to 30,910.58, 42,644.52 and 20,168.09 is: 27,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.58 : 42,644.52 = 20,168.09 : x
  2. Step 2: Convert to fraction form
    30,910.58/42,644.52 = 20,168.09/x
  3. Step 3: Cross multiply
    30,910.58x = 42,644.52 × 20,168.09
  4. Step 4: Simplify right side
    30,910.58x = 860,058,304.14
  5. Step 5: Solve for x
    x = 860,058,304.14/30,910.58
  6. Step 6: Final answer
    x = 27,824.08

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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.