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Finding the Fourth Proportional to 32,286.78, 44,577.30 and 20,205.60

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Solution

The fourth proportional to 32,286.78, 44,577.30 and 20,205.60 is: 27,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,286.78 : 44,577.30 = 20,205.60 : x
  2. Step 2: Convert to fraction form
    32,286.78/44,577.30 = 20,205.60/x
  3. Step 3: Cross multiply
    32,286.78x = 44,577.30 × 20,205.60
  4. Step 4: Simplify right side
    32,286.78x = 900,711,092.88
  5. Step 5: Solve for x
    x = 900,711,092.88/32,286.78
  6. Step 6: Final answer
    x = 27,897.21

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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.