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Finding the Fourth Proportional to 49,696, 68,580.48 and 27,340

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Solution

The fourth proportional to 49,696, 68,580.48 and 27,340 is: 37,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696 : 68,580.48 = 27,340 : x
  2. Step 2: Convert to fraction form
    49,696/68,580.48 = 27,340/x
  3. Step 3: Cross multiply
    49,696x = 68,580.48 × 27,340
  4. Step 4: Simplify right side
    49,696x = 1,874,990,323.20
  5. Step 5: Solve for x
    x = 1,874,990,323.20/49,696
  6. Step 6: Final answer
    x = 37,729.20

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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.