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Finding the Fourth Proportional to 32,198.96, 48,298.60 and 8,825.20

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Solution

The fourth proportional to 32,198.96, 48,298.60 and 8,825.20 is: 13,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198.96 : 48,298.60 = 8,825.20 : x
  2. Step 2: Convert to fraction form
    32,198.96/48,298.60 = 8,825.20/x
  3. Step 3: Cross multiply
    32,198.96x = 48,298.60 × 8,825.20
  4. Step 4: Simplify right side
    32,198.96x = 426,244,804.72
  5. Step 5: Solve for x
    x = 426,244,804.72/32,198.96
  6. Step 6: Final answer
    x = 13,237.84

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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.