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Finding the Fourth Proportional to 33,022.80, 49,534.20 and 13,291.20

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Solution

The fourth proportional to 33,022.80, 49,534.20 and 13,291.20 is: 19,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.80 : 49,534.20 = 13,291.20 : x
  2. Step 2: Convert to fraction form
    33,022.80/49,534.20 = 13,291.20/x
  3. Step 3: Cross multiply
    33,022.80x = 49,534.20 × 13,291.20
  4. Step 4: Simplify right side
    33,022.80x = 658,368,959.04
  5. Step 5: Solve for x
    x = 658,368,959.04/33,022.80
  6. Step 6: Final answer
    x = 19,936.80

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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.