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Finding the Fourth Proportional to 49,609.44, 74,424.42 and 16,331.50

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Solution

The fourth proportional to 49,609.44, 74,424.42 and 16,331.50 is: 24,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609.44 : 74,424.42 = 16,331.50 : x
  2. Step 2: Convert to fraction form
    49,609.44/74,424.42 = 16,331.50/x
  3. Step 3: Cross multiply
    49,609.44x = 74,424.42 × 16,331.50
  4. Step 4: Simplify right side
    49,609.44x = 1,215,462,415.23
  5. Step 5: Solve for x
    x = 1,215,462,415.23/49,609.44
  6. Step 6: Final answer
    x = 24,500.63

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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.