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Finding the Fourth Proportional to 29,802.96, 41,131.38 and 17,057.34

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Solution

The fourth proportional to 29,802.96, 41,131.38 and 17,057.34 is: 23,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.96 : 41,131.38 = 17,057.34 : x
  2. Step 2: Convert to fraction form
    29,802.96/41,131.38 = 17,057.34/x
  3. Step 3: Cross multiply
    29,802.96x = 41,131.38 × 17,057.34
  4. Step 4: Simplify right side
    29,802.96x = 701,591,933.33
  5. Step 5: Solve for x
    x = 701,591,933.33/29,802.96
  6. Step 6: Final answer
    x = 23,541.02

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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.