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Finding the Fourth Proportional to 33,009.80, 49,515.42 and 8,050.02

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Solution

The fourth proportional to 33,009.80, 49,515.42 and 8,050.02 is: 12,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.80 : 49,515.42 = 8,050.02 : x
  2. Step 2: Convert to fraction form
    33,009.80/49,515.42 = 8,050.02/x
  3. Step 3: Cross multiply
    33,009.80x = 49,515.42 × 8,050.02
  4. Step 4: Simplify right side
    33,009.80x = 398,600,121.31
  5. Step 5: Solve for x
    x = 398,600,121.31/33,009.80
  6. Step 6: Final answer
    x = 12,075.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.