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Finding the Fourth Proportional to 30,198.45, 41,679.77 and 19,289.57

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Solution

The fourth proportional to 30,198.45, 41,679.77 and 19,289.57 is: 26,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.45 : 41,679.77 = 19,289.57 : x
  2. Step 2: Convert to fraction form
    30,198.45/41,679.77 = 19,289.57/x
  3. Step 3: Cross multiply
    30,198.45x = 41,679.77 × 19,289.57
  4. Step 4: Simplify right side
    30,198.45x = 803,984,841.00
  5. Step 5: Solve for x
    x = 803,984,841.00/30,198.45
  6. Step 6: Final answer
    x = 26,623.38

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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.