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Finding the Fourth Proportional to 30,285, 41,793.30 and 17,037

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Solution

The fourth proportional to 30,285, 41,793.30 and 17,037 is: 23,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285 : 41,793.30 = 17,037 : x
  2. Step 2: Convert to fraction form
    30,285/41,793.30 = 17,037/x
  3. Step 3: Cross multiply
    30,285x = 41,793.30 × 17,037
  4. Step 4: Simplify right side
    30,285x = 712,032,452.10
  5. Step 5: Solve for x
    x = 712,032,452.10/30,285
  6. Step 6: Final answer
    x = 23,511.06

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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.