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Finding the Fourth Proportional to 29,824.92, 41,159.45 and 17,080.38

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Solution

The fourth proportional to 29,824.92, 41,159.45 and 17,080.38 is: 23,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.92 : 41,159.45 = 17,080.38 : x
  2. Step 2: Convert to fraction form
    29,824.92/41,159.45 = 17,080.38/x
  3. Step 3: Cross multiply
    29,824.92x = 41,159.45 × 17,080.38
  4. Step 4: Simplify right side
    29,824.92x = 703,019,046.59
  5. Step 5: Solve for x
    x = 703,019,046.59/29,824.92
  6. Step 6: Final answer
    x = 23,571.53

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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.