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Finding the Fourth Proportional to 30,308.75, 41,827.37 and 16,880

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Solution

The fourth proportional to 30,308.75, 41,827.37 and 16,880 is: 23,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,308.75 : 41,827.37 = 16,880 : x
  2. Step 2: Convert to fraction form
    30,308.75/41,827.37 = 16,880/x
  3. Step 3: Cross multiply
    30,308.75x = 41,827.37 × 16,880
  4. Step 4: Simplify right side
    30,308.75x = 706,046,005.60
  5. Step 5: Solve for x
    x = 706,046,005.60/30,308.75
  6. Step 6: Final answer
    x = 23,295.12

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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.