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Finding the Fourth Proportional to 30,299.90, 41,803.04 and 17,546.12

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Solution

The fourth proportional to 30,299.90, 41,803.04 and 17,546.12 is: 24,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.90 : 41,803.04 = 17,546.12 : x
  2. Step 2: Convert to fraction form
    30,299.90/41,803.04 = 17,546.12/x
  3. Step 3: Cross multiply
    30,299.90x = 41,803.04 × 17,546.12
  4. Step 4: Simplify right side
    30,299.90x = 733,481,156.20
  5. Step 5: Solve for x
    x = 733,481,156.20/30,299.90
  6. Step 6: Final answer
    x = 24,207.38

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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.