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Finding the Fourth Proportional to 32,449.42, 48,679.27 and 13,729.59

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Solution

The fourth proportional to 32,449.42, 48,679.27 and 13,729.59 is: 20,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.42 : 48,679.27 = 13,729.59 : x
  2. Step 2: Convert to fraction form
    32,449.42/48,679.27 = 13,729.59/x
  3. Step 3: Cross multiply
    32,449.42x = 48,679.27 × 13,729.59
  4. Step 4: Simplify right side
    32,449.42x = 668,346,540.30
  5. Step 5: Solve for x
    x = 668,346,540.30/32,449.42
  6. Step 6: Final answer
    x = 20,596.57

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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.