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Finding the Fourth Proportional to 30,310.49, 41,828.49 and 16,884.32

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Solution

The fourth proportional to 30,310.49, 41,828.49 and 16,884.32 is: 23,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,310.49 : 41,828.49 = 16,884.32 : x
  2. Step 2: Convert to fraction form
    30,310.49/41,828.49 = 16,884.32/x
  3. Step 3: Cross multiply
    30,310.49x = 41,828.49 × 16,884.32
  4. Step 4: Simplify right side
    30,310.49x = 706,245,610.28
  5. Step 5: Solve for x
    x = 706,245,610.28/30,310.49
  6. Step 6: Final answer
    x = 23,300.37

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1.5x scale

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.