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Finding the Fourth Proportional to 49,625, 74,449.64 and 24,676.80

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Solution

The fourth proportional to 49,625, 74,449.64 and 24,676.80 is: 37,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,625 : 74,449.64 = 24,676.80 : x
  2. Step 2: Convert to fraction form
    49,625/74,449.64 = 24,676.80/x
  3. Step 3: Cross multiply
    49,625x = 74,449.64 × 24,676.80
  4. Step 4: Simplify right side
    49,625x = 1,837,178,876.35
  5. Step 5: Solve for x
    x = 1,837,178,876.35/49,625
  6. Step 6: Final answer
    x = 37,021.24

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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.