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Finding the Fourth Proportional to 29,775.75, 44,605.22 and 17,269.50

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Solution

The fourth proportional to 29,775.75, 44,605.22 and 17,269.50 is: 25,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775.75 : 44,605.22 = 17,269.50 : x
  2. Step 2: Convert to fraction form
    29,775.75/44,605.22 = 17,269.50/x
  3. Step 3: Cross multiply
    29,775.75x = 44,605.22 × 17,269.50
  4. Step 4: Simplify right side
    29,775.75x = 770,309,846.79
  5. Step 5: Solve for x
    x = 770,309,846.79/29,775.75
  6. Step 6: Final answer
    x = 25,870.38

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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.