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Finding the Fourth Proportional to 30,427.36, 41,989.44 and 17,849.68

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Solution

The fourth proportional to 30,427.36, 41,989.44 and 17,849.68 is: 24,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.36 : 41,989.44 = 17,849.68 : x
  2. Step 2: Convert to fraction form
    30,427.36/41,989.44 = 17,849.68/x
  3. Step 3: Cross multiply
    30,427.36x = 41,989.44 × 17,849.68
  4. Step 4: Simplify right side
    30,427.36x = 749,498,067.38
  5. Step 5: Solve for x
    x = 749,498,067.38/30,427.36
  6. Step 6: Final answer
    x = 24,632.37

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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.