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Finding the Fourth Proportional to 29,834.95, 41,172.52 and 16,406.30

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Solution

The fourth proportional to 29,834.95, 41,172.52 and 16,406.30 is: 22,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.95 : 41,172.52 = 16,406.30 : x
  2. Step 2: Convert to fraction form
    29,834.95/41,172.52 = 16,406.30/x
  3. Step 3: Cross multiply
    29,834.95x = 41,172.52 × 16,406.30
  4. Step 4: Simplify right side
    29,834.95x = 675,488,662.48
  5. Step 5: Solve for x
    x = 675,488,662.48/29,834.95
  6. Step 6: Final answer
    x = 22,640.85

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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.