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Finding the Fourth Proportional to 30,047.42, 41,452.90 and 17,297.54

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Solution

The fourth proportional to 30,047.42, 41,452.90 and 17,297.54 is: 23,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.42 : 41,452.90 = 17,297.54 : x
  2. Step 2: Convert to fraction form
    30,047.42/41,452.90 = 17,297.54/x
  3. Step 3: Cross multiply
    30,047.42x = 41,452.90 × 17,297.54
  4. Step 4: Simplify right side
    30,047.42x = 717,033,195.87
  5. Step 5: Solve for x
    x = 717,033,195.87/30,047.42
  6. Step 6: Final answer
    x = 23,863.39

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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.