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Finding the Fourth Proportional to 29,810, 41,137.80 and 16,562

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Solution

The fourth proportional to 29,810, 41,137.80 and 16,562 is: 22,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810 : 41,137.80 = 16,562 : x
  2. Step 2: Convert to fraction form
    29,810/41,137.80 = 16,562/x
  3. Step 3: Cross multiply
    29,810x = 41,137.80 × 16,562
  4. Step 4: Simplify right side
    29,810x = 681,324,243.60
  5. Step 5: Solve for x
    x = 681,324,243.60/29,810
  6. Step 6: Final answer
    x = 22,855.56

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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.