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Finding the Fourth Proportional to 33,760.40, 46,588.11 and 20,149.16

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Solution

The fourth proportional to 33,760.40, 46,588.11 and 20,149.16 is: 27,805.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.40 : 46,588.11 = 20,149.16 : x
  2. Step 2: Convert to fraction form
    33,760.40/46,588.11 = 20,149.16/x
  3. Step 3: Cross multiply
    33,760.40x = 46,588.11 × 20,149.16
  4. Step 4: Simplify right side
    33,760.40x = 938,711,282.49
  5. Step 5: Solve for x
    x = 938,711,282.49/33,760.40
  6. Step 6: Final answer
    x = 27,805.10

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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.