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Finding the Fourth Proportional to 45,817.72, 68,757.71 and 24,764.21

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Solution

The fourth proportional to 45,817.72, 68,757.71 and 24,764.21 is: 37,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,817.72 : 68,757.71 = 24,764.21 : x
  2. Step 2: Convert to fraction form
    45,817.72/68,757.71 = 24,764.21/x
  3. Step 3: Cross multiply
    45,817.72x = 68,757.71 × 24,764.21
  4. Step 4: Simplify right side
    45,817.72x = 1,702,730,685.85
  5. Step 5: Solve for x
    x = 1,702,730,685.85/45,817.72
  6. Step 6: Final answer
    x = 37,163.15

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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.