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Finding the Fourth Proportional to 30,400.96, 41,941.41 and 17,651.96

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Solution

The fourth proportional to 30,400.96, 41,941.41 and 17,651.96 is: 24,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400.96 : 41,941.41 = 17,651.96 : x
  2. Step 2: Convert to fraction form
    30,400.96/41,941.41 = 17,651.96/x
  3. Step 3: Cross multiply
    30,400.96x = 41,941.41 × 17,651.96
  4. Step 4: Simplify right side
    30,400.96x = 740,348,130.32
  5. Step 5: Solve for x
    x = 740,348,130.32/30,400.96
  6. Step 6: Final answer
    x = 24,352.79

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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.