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Finding the Fourth Proportional to 67,300.20, 100,942.20 and 27,853.20

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Solution

The fourth proportional to 67,300.20, 100,942.20 and 27,853.20 is: 41,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,300.20 : 100,942.20 = 27,853.20 : x
  2. Step 2: Convert to fraction form
    67,300.20/100,942.20 = 27,853.20/x
  3. Step 3: Cross multiply
    67,300.20x = 100,942.20 × 27,853.20
  4. Step 4: Simplify right side
    67,300.20x = 2,811,563,285.04
  5. Step 5: Solve for x
    x = 2,811,563,285.04/67,300.20
  6. Step 6: Final answer
    x = 41,776.45

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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.