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Finding the Fourth Proportional to 32,120.96, 48,188.61 and 15,494.94

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Solution

The fourth proportional to 32,120.96, 48,188.61 and 15,494.94 is: 23,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,120.96 : 48,188.61 = 15,494.94 : x
  2. Step 2: Convert to fraction form
    32,120.96/48,188.61 = 15,494.94/x
  3. Step 3: Cross multiply
    32,120.96x = 48,188.61 × 15,494.94
  4. Step 4: Simplify right side
    32,120.96x = 746,679,620.63
  5. Step 5: Solve for x
    x = 746,679,620.63/32,120.96
  6. Step 6: Final answer
    x = 23,245.87

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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.