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Finding the Fourth Proportional to 45,983.80, 68,983.80 and 16,418.80

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Solution

The fourth proportional to 45,983.80, 68,983.80 and 16,418.80 is: 24,631.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,983.80 : 68,983.80 = 16,418.80 : x
  2. Step 2: Convert to fraction form
    45,983.80/68,983.80 = 16,418.80/x
  3. Step 3: Cross multiply
    45,983.80x = 68,983.80 × 16,418.80
  4. Step 4: Simplify right side
    45,983.80x = 1,132,631,215.44
  5. Step 5: Solve for x
    x = 1,132,631,215.44/45,983.80
  6. Step 6: Final answer
    x = 24,631.09

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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.