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Finding the Fourth Proportional to 33,792.69, 50,686.20 and 10,419.33

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Solution

The fourth proportional to 33,792.69, 50,686.20 and 10,419.33 is: 15,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792.69 : 50,686.20 = 10,419.33 : x
  2. Step 2: Convert to fraction form
    33,792.69/50,686.20 = 10,419.33/x
  3. Step 3: Cross multiply
    33,792.69x = 50,686.20 × 10,419.33
  4. Step 4: Simplify right side
    33,792.69x = 528,116,244.25
  5. Step 5: Solve for x
    x = 528,116,244.25/33,792.69
  6. Step 6: Final answer
    x = 15,628.12

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