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Finding the Fourth Proportional to 29,834.46, 41,172.45 and 16,405.02

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Solution

The fourth proportional to 29,834.46, 41,172.45 and 16,405.02 is: 22,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,834.46 : 41,172.45 = 16,405.02 : x
  2. Step 2: Convert to fraction form
    29,834.46/41,172.45 = 16,405.02/x
  3. Step 3: Cross multiply
    29,834.46x = 41,172.45 × 16,405.02
  4. Step 4: Simplify right side
    29,834.46x = 675,434,865.70
  5. Step 5: Solve for x
    x = 675,434,865.70/29,834.46
  6. Step 6: Final answer
    x = 22,639.42

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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.