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Finding the Fourth Proportional to 33,006.22, 45,547.77 and 18,857.86

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Solution

The fourth proportional to 33,006.22, 45,547.77 and 18,857.86 is: 26,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.22 : 45,547.77 = 18,857.86 : x
  2. Step 2: Convert to fraction form
    33,006.22/45,547.77 = 18,857.86/x
  3. Step 3: Cross multiply
    33,006.22x = 45,547.77 × 18,857.86
  4. Step 4: Simplify right side
    33,006.22x = 858,933,469.97
  5. Step 5: Solve for x
    x = 858,933,469.97/33,006.22
  6. Step 6: Final answer
    x = 26,023.38

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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.