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Finding the Fourth Proportional to 33,010.80, 49,516.20 and 9,634.20

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Solution

The fourth proportional to 33,010.80, 49,516.20 and 9,634.20 is: 14,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010.80 : 49,516.20 = 9,634.20 : x
  2. Step 2: Convert to fraction form
    33,010.80/49,516.20 = 9,634.20/x
  3. Step 3: Cross multiply
    33,010.80x = 49,516.20 × 9,634.20
  4. Step 4: Simplify right side
    33,010.80x = 477,048,974.04
  5. Step 5: Solve for x
    x = 477,048,974.04/33,010.80
  6. Step 6: Final answer
    x = 14,451.30

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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.