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Finding the Fourth Proportional to 32,205.20, 48,250.20 and 27,597.20

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Solution

The fourth proportional to 32,205.20, 48,250.20 and 27,597.20 is: 41,346.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.20 : 48,250.20 = 27,597.20 : x
  2. Step 2: Convert to fraction form
    32,205.20/48,250.20 = 27,597.20/x
  3. Step 3: Cross multiply
    32,205.20x = 48,250.20 × 27,597.20
  4. Step 4: Simplify right side
    32,205.20x = 1,331,570,419.44
  5. Step 5: Solve for x
    x = 1,331,570,419.44/32,205.20
  6. Step 6: Final answer
    x = 41,346.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.