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Finding the Fourth Proportional to 29,738.40, 41,042.46 and 16,993.65

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Solution

The fourth proportional to 29,738.40, 41,042.46 and 16,993.65 is: 23,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.40 : 41,042.46 = 16,993.65 : x
  2. Step 2: Convert to fraction form
    29,738.40/41,042.46 = 16,993.65/x
  3. Step 3: Cross multiply
    29,738.40x = 41,042.46 × 16,993.65
  4. Step 4: Simplify right side
    29,738.40x = 697,461,200.38
  5. Step 5: Solve for x
    x = 697,461,200.38/29,738.40
  6. Step 6: Final answer
    x = 23,453.22

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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.