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Finding the Fourth Proportional to 22,074.80, 33,133 and 8,048.38

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Solution

The fourth proportional to 22,074.80, 33,133 and 8,048.38 is: 12,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.80 : 33,133 = 8,048.38 : x
  2. Step 2: Convert to fraction form
    22,074.80/33,133 = 8,048.38/x
  3. Step 3: Cross multiply
    22,074.80x = 33,133 × 8,048.38
  4. Step 4: Simplify right side
    22,074.80x = 266,666,974.54
  5. Step 5: Solve for x
    x = 266,666,974.54/22,074.80
  6. Step 6: Final answer
    x = 12,080.15

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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.