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Finding the Fourth Proportional to 71,703.86, 107,553.36 and 27,329

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Solution

The fourth proportional to 71,703.86, 107,553.36 and 27,329 is: 40,992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.86 : 107,553.36 = 27,329 : x
  2. Step 2: Convert to fraction form
    71,703.86/107,553.36 = 27,329/x
  3. Step 3: Cross multiply
    71,703.86x = 107,553.36 × 27,329
  4. Step 4: Simplify right side
    71,703.86x = 2,939,325,775.44
  5. Step 5: Solve for x
    x = 2,939,325,775.44/71,703.86
  6. Step 6: Final answer
    x = 40,992.57

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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.