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Finding the Fourth Proportional to 30,302.92, 41,794.32 and 19,696

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Solution

The fourth proportional to 30,302.92, 41,794.32 and 19,696 is: 27,165.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.92 : 41,794.32 = 19,696 : x
  2. Step 2: Convert to fraction form
    30,302.92/41,794.32 = 19,696/x
  3. Step 3: Cross multiply
    30,302.92x = 41,794.32 × 19,696
  4. Step 4: Simplify right side
    30,302.92x = 823,180,926.72
  5. Step 5: Solve for x
    x = 823,180,926.72/30,302.92
  6. Step 6: Final answer
    x = 27,165.07

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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.