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Finding the Fourth Proportional to 30,682.69, 45,976.86 and 18,177.84

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Solution

The fourth proportional to 30,682.69, 45,976.86 and 18,177.84 is: 27,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.69 : 45,976.86 = 18,177.84 : x
  2. Step 2: Convert to fraction form
    30,682.69/45,976.86 = 18,177.84/x
  3. Step 3: Cross multiply
    30,682.69x = 45,976.86 × 18,177.84
  4. Step 4: Simplify right side
    30,682.69x = 835,760,004.78
  5. Step 5: Solve for x
    x = 835,760,004.78/30,682.69
  6. Step 6: Final answer
    x = 27,238.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.