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Finding the Fourth Proportional to 29,892.45, 41,250 and 17,144.98

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Solution

The fourth proportional to 29,892.45, 41,250 and 17,144.98 is: 23,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892.45 : 41,250 = 17,144.98 : x
  2. Step 2: Convert to fraction form
    29,892.45/41,250 = 17,144.98/x
  3. Step 3: Cross multiply
    29,892.45x = 41,250 × 17,144.98
  4. Step 4: Simplify right side
    29,892.45x = 707,230,321.88
  5. Step 5: Solve for x
    x = 707,230,321.88/29,892.45
  6. Step 6: Final answer
    x = 23,659.16

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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.