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Finding the Fourth Proportional to 30,245, 41,738.10 and 17,669.84

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Solution

The fourth proportional to 30,245, 41,738.10 and 17,669.84 is: 24,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245 : 41,738.10 = 17,669.84 : x
  2. Step 2: Convert to fraction form
    30,245/41,738.10 = 17,669.84/x
  3. Step 3: Cross multiply
    30,245x = 41,738.10 × 17,669.84
  4. Step 4: Simplify right side
    30,245x = 737,505,548.90
  5. Step 5: Solve for x
    x = 737,505,548.90/30,245
  6. Step 6: Final answer
    x = 24,384.38

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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.