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Finding the Fourth Proportional to 33,744, 46,564.66 and 20,319.60

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Solution

The fourth proportional to 33,744, 46,564.66 and 20,319.60 is: 28,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,744 : 46,564.66 = 20,319.60 : x
  2. Step 2: Convert to fraction form
    33,744/46,564.66 = 20,319.60/x
  3. Step 3: Cross multiply
    33,744x = 46,564.66 × 20,319.60
  4. Step 4: Simplify right side
    33,744x = 946,175,265.34
  5. Step 5: Solve for x
    x = 946,175,265.34/33,744
  6. Step 6: Final answer
    x = 28,039.81

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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.