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Finding the Fourth Proportional to 33,727, 46,543.44 and 18,823

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Solution

The fourth proportional to 33,727, 46,543.44 and 18,823 is: 25,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,727 : 46,543.44 = 18,823 : x
  2. Step 2: Convert to fraction form
    33,727/46,543.44 = 18,823/x
  3. Step 3: Cross multiply
    33,727x = 46,543.44 × 18,823
  4. Step 4: Simplify right side
    33,727x = 876,087,171.12
  5. Step 5: Solve for x
    x = 876,087,171.12/33,727
  6. Step 6: Final answer
    x = 25,975.84

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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.