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Finding the Fourth Proportional to 72,481.77, 108,733.14 and 22,566.33

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Solution

The fourth proportional to 72,481.77, 108,733.14 and 22,566.33 is: 33,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,481.77 : 108,733.14 = 22,566.33 : x
  2. Step 2: Convert to fraction form
    72,481.77/108,733.14 = 22,566.33/x
  3. Step 3: Cross multiply
    72,481.77x = 108,733.14 × 22,566.33
  4. Step 4: Simplify right side
    72,481.77x = 2,453,707,919.18
  5. Step 5: Solve for x
    x = 2,453,707,919.18/72,481.77
  6. Step 6: Final answer
    x = 33,852.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.