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Finding the Fourth Proportional to 33,068, 45,633.96 and 18,164

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Solution

The fourth proportional to 33,068, 45,633.96 and 18,164 is: 25,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,068 : 45,633.96 = 18,164 : x
  2. Step 2: Convert to fraction form
    33,068/45,633.96 = 18,164/x
  3. Step 3: Cross multiply
    33,068x = 45,633.96 × 18,164
  4. Step 4: Simplify right side
    33,068x = 828,895,249.44
  5. Step 5: Solve for x
    x = 828,895,249.44/33,068
  6. Step 6: Final answer
    x = 25,066.39

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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.