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Finding the Fourth Proportional to 33,164.72, 45,768.16 and 18,057.92

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Solution

The fourth proportional to 33,164.72, 45,768.16 and 18,057.92 is: 24,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.72 : 45,768.16 = 18,057.92 : x
  2. Step 2: Convert to fraction form
    33,164.72/45,768.16 = 18,057.92/x
  3. Step 3: Cross multiply
    33,164.72x = 45,768.16 × 18,057.92
  4. Step 4: Simplify right side
    33,164.72x = 826,477,771.83
  5. Step 5: Solve for x
    x = 826,477,771.83/33,164.72
  6. Step 6: Final answer
    x = 24,920.39

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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.