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Finding the Fourth Proportional to 30,149.26, 41,608.12 and 16,721.80

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Solution

The fourth proportional to 30,149.26, 41,608.12 and 16,721.80 is: 23,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,149.26 : 41,608.12 = 16,721.80 : x
  2. Step 2: Convert to fraction form
    30,149.26/41,608.12 = 16,721.80/x
  3. Step 3: Cross multiply
    30,149.26x = 41,608.12 × 16,721.80
  4. Step 4: Simplify right side
    30,149.26x = 695,762,661.02
  5. Step 5: Solve for x
    x = 695,762,661.02/30,149.26
  6. Step 6: Final answer
    x = 23,077.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.