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Finding the Fourth Proportional to 32,096.46, 48,115.53 and 14,556.72

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Solution

The fourth proportional to 32,096.46, 48,115.53 and 14,556.72 is: 21,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.46 : 48,115.53 = 14,556.72 : x
  2. Step 2: Convert to fraction form
    32,096.46/48,115.53 = 14,556.72/x
  3. Step 3: Cross multiply
    32,096.46x = 48,115.53 × 14,556.72
  4. Step 4: Simplify right side
    32,096.46x = 700,404,297.86
  5. Step 5: Solve for x
    x = 700,404,297.86/32,096.46
  6. Step 6: Final answer
    x = 21,821.86

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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.