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Finding the Fourth Proportional to 101,696.48, 152,544.76 and 27,824.48

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Solution

The fourth proportional to 101,696.48, 152,544.76 and 27,824.48 is: 41,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,696.48 : 152,544.76 = 27,824.48 : x
  2. Step 2: Convert to fraction form
    101,696.48/152,544.76 = 27,824.48/x
  3. Step 3: Cross multiply
    101,696.48x = 152,544.76 × 27,824.48
  4. Step 4: Simplify right side
    101,696.48x = 4,244,478,623.72
  5. Step 5: Solve for x
    x = 4,244,478,623.72/101,696.48
  6. Step 6: Final answer
    x = 41,736.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.