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Finding the Fourth Proportional to 29,759.72, 41,069.70 and 17,825

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Solution

The fourth proportional to 29,759.72, 41,069.70 and 17,825 is: 24,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,759.72 : 41,069.70 = 17,825 : x
  2. Step 2: Convert to fraction form
    29,759.72/41,069.70 = 17,825/x
  3. Step 3: Cross multiply
    29,759.72x = 41,069.70 × 17,825
  4. Step 4: Simplify right side
    29,759.72x = 732,067,402.50
  5. Step 5: Solve for x
    x = 732,067,402.50/29,759.72
  6. Step 6: Final answer
    x = 24,599.27

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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.