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Finding the Fourth Proportional to 35,794.80, 49,443.34 and 27,245

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Solution

The fourth proportional to 35,794.80, 49,443.34 and 27,245 is: 37,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,794.80 : 49,443.34 = 27,245 : x
  2. Step 2: Convert to fraction form
    35,794.80/49,443.34 = 27,245/x
  3. Step 3: Cross multiply
    35,794.80x = 49,443.34 × 27,245
  4. Step 4: Simplify right side
    35,794.80x = 1,347,083,798.30
  5. Step 5: Solve for x
    x = 1,347,083,798.30/35,794.80
  6. Step 6: Final answer
    x = 37,633.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.