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Finding the Fourth Proportional to 67,477.69, 101,198.84 and 20,080.07

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Solution

The fourth proportional to 67,477.69, 101,198.84 and 20,080.07 is: 30,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,477.69 : 101,198.84 = 20,080.07 : x
  2. Step 2: Convert to fraction form
    67,477.69/101,198.84 = 20,080.07/x
  3. Step 3: Cross multiply
    67,477.69x = 101,198.84 × 20,080.07
  4. Step 4: Simplify right side
    67,477.69x = 2,032,079,285.12
  5. Step 5: Solve for x
    x = 2,032,079,285.12/67,477.69
  6. Step 6: Final answer
    x = 30,114.83

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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.