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Finding the Fourth Proportional to 35,643.88, 49,189.58 and 19,729.81

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Solution

The fourth proportional to 35,643.88, 49,189.58 and 19,729.81 is: 27,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.88 : 49,189.58 = 19,729.81 : x
  2. Step 2: Convert to fraction form
    35,643.88/49,189.58 = 19,729.81/x
  3. Step 3: Cross multiply
    35,643.88x = 49,189.58 × 19,729.81
  4. Step 4: Simplify right side
    35,643.88x = 970,501,067.38
  5. Step 5: Solve for x
    x = 970,501,067.38/35,643.88
  6. Step 6: Final answer
    x = 27,227.71

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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.