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Finding the Fourth Proportional to 36,812.19, 50,802.96 and 27,721.28

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Solution

The fourth proportional to 36,812.19, 50,802.96 and 27,721.28 is: 38,256.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812.19 : 50,802.96 = 27,721.28 : x
  2. Step 2: Convert to fraction form
    36,812.19/50,802.96 = 27,721.28/x
  3. Step 3: Cross multiply
    36,812.19x = 50,802.96 × 27,721.28
  4. Step 4: Simplify right side
    36,812.19x = 1,408,322,824.97
  5. Step 5: Solve for x
    x = 1,408,322,824.97/36,812.19
  6. Step 6: Final answer
    x = 38,256.97

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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.