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Finding the Fourth Proportional to 50,545, 75,814.31 and 19,738.37

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Solution

The fourth proportional to 50,545, 75,814.31 and 19,738.37 is: 29,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,545 : 75,814.31 = 19,738.37 : x
  2. Step 2: Convert to fraction form
    50,545/75,814.31 = 19,738.37/x
  3. Step 3: Cross multiply
    50,545x = 75,814.31 × 19,738.37
  4. Step 4: Simplify right side
    50,545x = 1,496,450,902.07
  5. Step 5: Solve for x
    x = 1,496,450,902.07/50,545
  6. Step 6: Final answer
    x = 29,606.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.