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Finding the Fourth Proportional to 71,825.39, 107,735.99 and 19,234.86

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Solution

The fourth proportional to 71,825.39, 107,735.99 and 19,234.86 is: 28,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.39 : 107,735.99 = 19,234.86 : x
  2. Step 2: Convert to fraction form
    71,825.39/107,735.99 = 19,234.86/x
  3. Step 3: Cross multiply
    71,825.39x = 107,735.99 × 19,234.86
  4. Step 4: Simplify right side
    71,825.39x = 2,072,286,684.61
  5. Step 5: Solve for x
    x = 2,072,286,684.61/71,825.39
  6. Step 6: Final answer
    x = 28,851.73

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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.