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Finding the Fourth Proportional to 50,450.63, 75,489.09 and 31,580.31

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Solution

The fourth proportional to 50,450.63, 75,489.09 and 31,580.31 is: 47,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,450.63 : 75,489.09 = 31,580.31 : x
  2. Step 2: Convert to fraction form
    50,450.63/75,489.09 = 31,580.31/x
  3. Step 3: Cross multiply
    50,450.63x = 75,489.09 × 31,580.31
  4. Step 4: Simplify right side
    50,450.63x = 2,383,968,863.82
  5. Step 5: Solve for x
    x = 2,383,968,863.82/50,450.63
  6. Step 6: Final answer
    x = 47,253.50

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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.