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Finding the Fourth Proportional to 33,465.32, 46,183.14 and 18,561

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Solution

The fourth proportional to 33,465.32, 46,183.14 and 18,561 is: 25,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.32 : 46,183.14 = 18,561 : x
  2. Step 2: Convert to fraction form
    33,465.32/46,183.14 = 18,561/x
  3. Step 3: Cross multiply
    33,465.32x = 46,183.14 × 18,561
  4. Step 4: Simplify right side
    33,465.32x = 857,205,261.54
  5. Step 5: Solve for x
    x = 857,205,261.54/33,465.32
  6. Step 6: Final answer
    x = 25,614.73

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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.