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Finding the Fourth Proportional to 30,795.25, 42,497.56 and 17,183.86

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Solution

The fourth proportional to 30,795.25, 42,497.56 and 17,183.86 is: 23,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,795.25 : 42,497.56 = 17,183.86 : x
  2. Step 2: Convert to fraction form
    30,795.25/42,497.56 = 17,183.86/x
  3. Step 3: Cross multiply
    30,795.25x = 42,497.56 × 17,183.86
  4. Step 4: Simplify right side
    30,795.25x = 730,272,121.38
  5. Step 5: Solve for x
    x = 730,272,121.38/30,795.25
  6. Step 6: Final answer
    x = 23,713.79

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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.