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Finding the Fourth Proportional to 32,079, 48,138.54 and 15,440.79

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Solution

The fourth proportional to 32,079, 48,138.54 and 15,440.79 is: 23,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,079 : 48,138.54 = 15,440.79 : x
  2. Step 2: Convert to fraction form
    32,079/48,138.54 = 15,440.79/x
  3. Step 3: Cross multiply
    32,079x = 48,138.54 × 15,440.79
  4. Step 4: Simplify right side
    32,079x = 743,297,087.05
  5. Step 5: Solve for x
    x = 743,297,087.05/32,079
  6. Step 6: Final answer
    x = 23,170.83

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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.