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Finding the Fourth Proportional to 45,049.72, 62,163.05 and 24,907

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Solution

The fourth proportional to 45,049.72, 62,163.05 and 24,907 is: 34,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,049.72 : 62,163.05 = 24,907 : x
  2. Step 2: Convert to fraction form
    45,049.72/62,163.05 = 24,907/x
  3. Step 3: Cross multiply
    45,049.72x = 62,163.05 × 24,907
  4. Step 4: Simplify right side
    45,049.72x = 1,548,295,086.35
  5. Step 5: Solve for x
    x = 1,548,295,086.35/45,049.72
  6. Step 6: Final answer
    x = 34,368.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.