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Finding the Fourth Proportional to 48,122.12, 72,183.18 and 23,477

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Solution

The fourth proportional to 48,122.12, 72,183.18 and 23,477 is: 35,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,122.12 : 72,183.18 = 23,477 : x
  2. Step 2: Convert to fraction form
    48,122.12/72,183.18 = 23,477/x
  3. Step 3: Cross multiply
    48,122.12x = 72,183.18 × 23,477
  4. Step 4: Simplify right side
    48,122.12x = 1,694,644,516.86
  5. Step 5: Solve for x
    x = 1,694,644,516.86/48,122.12
  6. Step 6: Final answer
    x = 35,215.50

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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.