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Finding the Fourth Proportional to 50,546, 75,815.81 and 19,739.37

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Solution

The fourth proportional to 50,546, 75,815.81 and 19,739.37 is: 29,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546 : 75,815.81 = 19,739.37 : x
  2. Step 2: Convert to fraction form
    50,546/75,815.81 = 19,739.37/x
  3. Step 3: Cross multiply
    50,546x = 75,815.81 × 19,739.37
  4. Step 4: Simplify right side
    50,546x = 1,496,556,325.44
  5. Step 5: Solve for x
    x = 1,496,556,325.44/50,546
  6. Step 6: Final answer
    x = 29,607.81

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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.