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Finding the Fourth Proportional to 32,311.28, 48,474.65 and 15,651.83

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Solution

The fourth proportional to 32,311.28, 48,474.65 and 15,651.83 is: 23,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.28 : 48,474.65 = 15,651.83 : x
  2. Step 2: Convert to fraction form
    32,311.28/48,474.65 = 15,651.83/x
  3. Step 3: Cross multiply
    32,311.28x = 48,474.65 × 15,651.83
  4. Step 4: Simplify right side
    32,311.28x = 758,717,024.04
  5. Step 5: Solve for x
    x = 758,717,024.04/32,311.28
  6. Step 6: Final answer
    x = 23,481.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.