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Finding the Fourth Proportional to 30,077.26, 41,506.09 and 16,648.21

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Solution

The fourth proportional to 30,077.26, 41,506.09 and 16,648.21 is: 22,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,077.26 : 41,506.09 = 16,648.21 : x
  2. Step 2: Convert to fraction form
    30,077.26/41,506.09 = 16,648.21/x
  3. Step 3: Cross multiply
    30,077.26x = 41,506.09 × 16,648.21
  4. Step 4: Simplify right side
    30,077.26x = 691,001,957.21
  5. Step 5: Solve for x
    x = 691,001,957.21/30,077.26
  6. Step 6: Final answer
    x = 22,974.23

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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.