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Finding the Fourth Proportional to 33,696, 46,500.48 and 18,792

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Solution

The fourth proportional to 33,696, 46,500.48 and 18,792 is: 25,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,696 : 46,500.48 = 18,792 : x
  2. Step 2: Convert to fraction form
    33,696/46,500.48 = 18,792/x
  3. Step 3: Cross multiply
    33,696x = 46,500.48 × 18,792
  4. Step 4: Simplify right side
    33,696x = 873,837,020.16
  5. Step 5: Solve for x
    x = 873,837,020.16/33,696
  6. Step 6: Final answer
    x = 25,932.96

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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.