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Finding the Fourth Proportional to 36,802.49, 50,821.16 and 23,378.07

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Solution

The fourth proportional to 36,802.49, 50,821.16 and 23,378.07 is: 32,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.49 : 50,821.16 = 23,378.07 : x
  2. Step 2: Convert to fraction form
    36,802.49/50,821.16 = 23,378.07/x
  3. Step 3: Cross multiply
    36,802.49x = 50,821.16 × 23,378.07
  4. Step 4: Simplify right side
    36,802.49x = 1,188,100,519.07
  5. Step 5: Solve for x
    x = 1,188,100,519.07/36,802.49
  6. Step 6: Final answer
    x = 32,283.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.