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Finding the Fourth Proportional to 29,763, 41,072.94 and 16,515

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Solution

The fourth proportional to 29,763, 41,072.94 and 16,515 is: 22,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763 : 41,072.94 = 16,515 : x
  2. Step 2: Convert to fraction form
    29,763/41,072.94 = 16,515/x
  3. Step 3: Cross multiply
    29,763x = 41,072.94 × 16,515
  4. Step 4: Simplify right side
    29,763x = 678,319,604.10
  5. Step 5: Solve for x
    x = 678,319,604.10/29,763
  6. Step 6: Final answer
    x = 22,790.70

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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.