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Finding the Fourth Proportional to 31,433.67, 43,370.84 and 19,944.38

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Solution

The fourth proportional to 31,433.67, 43,370.84 and 19,944.38 is: 27,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433.67 : 43,370.84 = 19,944.38 : x
  2. Step 2: Convert to fraction form
    31,433.67/43,370.84 = 19,944.38/x
  3. Step 3: Cross multiply
    31,433.67x = 43,370.84 × 19,944.38
  4. Step 4: Simplify right side
    31,433.67x = 865,004,513.88
  5. Step 5: Solve for x
    x = 865,004,513.88/31,433.67
  6. Step 6: Final answer
    x = 27,518.41

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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.