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Finding the Fourth Proportional to 32,099.58, 48,149.37 and 8,729.46

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Solution

The fourth proportional to 32,099.58, 48,149.37 and 8,729.46 is: 13,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,099.58 : 48,149.37 = 8,729.46 : x
  2. Step 2: Convert to fraction form
    32,099.58/48,149.37 = 8,729.46/x
  3. Step 3: Cross multiply
    32,099.58x = 48,149.37 × 8,729.46
  4. Step 4: Simplify right side
    32,099.58x = 420,317,999.44
  5. Step 5: Solve for x
    x = 420,317,999.44/32,099.58
  6. Step 6: Final answer
    x = 13,094.19

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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.