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Finding the Fourth Proportional to 30,270.40, 41,774.07 and 16,843.30

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Solution

The fourth proportional to 30,270.40, 41,774.07 and 16,843.30 is: 23,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,270.40 : 41,774.07 = 16,843.30 : x
  2. Step 2: Convert to fraction form
    30,270.40/41,774.07 = 16,843.30/x
  3. Step 3: Cross multiply
    30,270.40x = 41,774.07 × 16,843.30
  4. Step 4: Simplify right side
    30,270.40x = 703,613,193.23
  5. Step 5: Solve for x
    x = 703,613,193.23/30,270.40
  6. Step 6: Final answer
    x = 23,244.26

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1.5x scale

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.