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Finding the Fourth Proportional to 35,745.96, 49,330.44 and 19,614

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Solution

The fourth proportional to 35,745.96, 49,330.44 and 19,614 is: 27,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745.96 : 49,330.44 = 19,614 : x
  2. Step 2: Convert to fraction form
    35,745.96/49,330.44 = 19,614/x
  3. Step 3: Cross multiply
    35,745.96x = 49,330.44 × 19,614
  4. Step 4: Simplify right side
    35,745.96x = 967,567,250.16
  5. Step 5: Solve for x
    x = 967,567,250.16/35,745.96
  6. Step 6: Final answer
    x = 27,067.88

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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.