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Finding the Fourth Proportional to 75,882.82, 104,697.93 and 49,015.54

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Solution

The fourth proportional to 75,882.82, 104,697.93 and 49,015.54 is: 67,628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.82 : 104,697.93 = 49,015.54 : x
  2. Step 2: Convert to fraction form
    75,882.82/104,697.93 = 49,015.54/x
  3. Step 3: Cross multiply
    75,882.82x = 104,697.93 × 49,015.54
  4. Step 4: Simplify right side
    75,882.82x = 5,131,825,575.83
  5. Step 5: Solve for x
    x = 5,131,825,575.83/75,882.82
  6. Step 6: Final answer
    x = 67,628.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.