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Finding the Fourth Proportional to 30,289, 41,798.82 and 17,041

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Solution

The fourth proportional to 30,289, 41,798.82 and 17,041 is: 23,516.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,289 : 41,798.82 = 17,041 : x
  2. Step 2: Convert to fraction form
    30,289/41,798.82 = 17,041/x
  3. Step 3: Cross multiply
    30,289x = 41,798.82 × 17,041
  4. Step 4: Simplify right side
    30,289x = 712,293,691.62
  5. Step 5: Solve for x
    x = 712,293,691.62/30,289
  6. Step 6: Final answer
    x = 23,516.58

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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.