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Finding the Fourth Proportional to 49,441.87, 74,162.83 and 12,002

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Solution

The fourth proportional to 49,441.87, 74,162.83 and 12,002 is: 18,003.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,441.87 : 74,162.83 = 12,002 : x
  2. Step 2: Convert to fraction form
    49,441.87/74,162.83 = 12,002/x
  3. Step 3: Cross multiply
    49,441.87x = 74,162.83 × 12,002
  4. Step 4: Simplify right side
    49,441.87x = 890,102,285.66
  5. Step 5: Solve for x
    x = 890,102,285.66/49,441.87
  6. Step 6: Final answer
    x = 18,003.01

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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.