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Finding the Fourth Proportional to 35,745.66, 49,328.26 and 19,829.97

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Solution

The fourth proportional to 35,745.66, 49,328.26 and 19,829.97 is: 27,364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745.66 : 49,328.26 = 19,829.97 : x
  2. Step 2: Convert to fraction form
    35,745.66/49,328.26 = 19,829.97/x
  3. Step 3: Cross multiply
    35,745.66x = 49,328.26 × 19,829.97
  4. Step 4: Simplify right side
    35,745.66x = 978,177,866.38
  5. Step 5: Solve for x
    x = 978,177,866.38/35,745.66
  6. Step 6: Final answer
    x = 27,364.94

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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.