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Finding the Fourth Proportional to 30,728.18, 42,404.92 and 17,299.54

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Solution

The fourth proportional to 30,728.18, 42,404.92 and 17,299.54 is: 23,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.18 : 42,404.92 = 17,299.54 : x
  2. Step 2: Convert to fraction form
    30,728.18/42,404.92 = 17,299.54/x
  3. Step 3: Cross multiply
    30,728.18x = 42,404.92 × 17,299.54
  4. Step 4: Simplify right side
    30,728.18x = 733,585,609.74
  5. Step 5: Solve for x
    x = 733,585,609.74/30,728.18
  6. Step 6: Final answer
    x = 23,873.38

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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.