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Finding the Fourth Proportional to 32,137.32, 48,201.12 and 8,765.60

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Solution

The fourth proportional to 32,137.32, 48,201.12 and 8,765.60 is: 13,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.32 : 48,201.12 = 8,765.60 : x
  2. Step 2: Convert to fraction form
    32,137.32/48,201.12 = 8,765.60/x
  3. Step 3: Cross multiply
    32,137.32x = 48,201.12 × 8,765.60
  4. Step 4: Simplify right side
    32,137.32x = 422,511,737.47
  5. Step 5: Solve for x
    x = 422,511,737.47/32,137.32
  6. Step 6: Final answer
    x = 13,147.07

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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.