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Finding the Fourth Proportional to 29,750.49, 41,042.70 and 18,416.97

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Solution

The fourth proportional to 29,750.49, 41,042.70 and 18,416.97 is: 25,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750.49 : 41,042.70 = 18,416.97 : x
  2. Step 2: Convert to fraction form
    29,750.49/41,042.70 = 18,416.97/x
  3. Step 3: Cross multiply
    29,750.49x = 41,042.70 × 18,416.97
  4. Step 4: Simplify right side
    29,750.49x = 755,882,174.62
  5. Step 5: Solve for x
    x = 755,882,174.62/29,750.49
  6. Step 6: Final answer
    x = 25,407.39

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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.