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Finding the Fourth Proportional to 46,469.00, 69,664.31 and 20,153.92

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Solution

The fourth proportional to 46,469.00, 69,664.31 and 20,153.92 is: 30,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.00 : 69,664.31 = 20,153.92 : x
  2. Step 2: Convert to fraction form
    46,469.00/69,664.31 = 20,153.92/x
  3. Step 3: Cross multiply
    46,469.00x = 69,664.31 × 20,153.92
  4. Step 4: Simplify right side
    46,469.00x = 1,404,008,861.86
  5. Step 5: Solve for x
    x = 1,404,008,861.86/46,469.00
  6. Step 6: Final answer
    x = 30,213.88

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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.