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Finding the Fourth Proportional to 33,548.96, 46,295.76 and 18,644

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Solution

The fourth proportional to 33,548.96, 46,295.76 and 18,644 is: 25,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548.96 : 46,295.76 = 18,644 : x
  2. Step 2: Convert to fraction form
    33,548.96/46,295.76 = 18,644/x
  3. Step 3: Cross multiply
    33,548.96x = 46,295.76 × 18,644
  4. Step 4: Simplify right side
    33,548.96x = 863,138,149.44
  5. Step 5: Solve for x
    x = 863,138,149.44/33,548.96
  6. Step 6: Final answer
    x = 25,727.72

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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.