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Finding the Fourth Proportional to 32,406.60, 48,609.90 and 27,546.60

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Solution

The fourth proportional to 32,406.60, 48,609.90 and 27,546.60 is: 41,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.60 : 48,609.90 = 27,546.60 : x
  2. Step 2: Convert to fraction form
    32,406.60/48,609.90 = 27,546.60/x
  3. Step 3: Cross multiply
    32,406.60x = 48,609.90 × 27,546.60
  4. Step 4: Simplify right side
    32,406.60x = 1,339,037,471.34
  5. Step 5: Solve for x
    x = 1,339,037,471.34/32,406.60
  6. Step 6: Final answer
    x = 41,319.90

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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.