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Finding the Fourth Proportional to 33,034.96, 49,552.26 and 8,075.12

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Solution

The fourth proportional to 33,034.96, 49,552.26 and 8,075.12 is: 12,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.96 : 49,552.26 = 8,075.12 : x
  2. Step 2: Convert to fraction form
    33,034.96/49,552.26 = 8,075.12/x
  3. Step 3: Cross multiply
    33,034.96x = 49,552.26 × 8,075.12
  4. Step 4: Simplify right side
    33,034.96x = 400,140,445.77
  5. Step 5: Solve for x
    x = 400,140,445.77/33,034.96
  6. Step 6: Final answer
    x = 12,112.64

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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.