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Finding the Fourth Proportional to 49,914.61, 74,846.61 and 16,623

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Solution

The fourth proportional to 49,914.61, 74,846.61 and 16,623 is: 24,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914.61 : 74,846.61 = 16,623 : x
  2. Step 2: Convert to fraction form
    49,914.61/74,846.61 = 16,623/x
  3. Step 3: Cross multiply
    49,914.61x = 74,846.61 × 16,623
  4. Step 4: Simplify right side
    49,914.61x = 1,244,175,198.03
  5. Step 5: Solve for x
    x = 1,244,175,198.03/49,914.61
  6. Step 6: Final answer
    x = 24,926.07

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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.