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Finding the Fourth Proportional to 30,203, 41,680.14 and 17,627.84

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Solution

The fourth proportional to 30,203, 41,680.14 and 17,627.84 is: 24,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,203 : 41,680.14 = 17,627.84 : x
  2. Step 2: Convert to fraction form
    30,203/41,680.14 = 17,627.84/x
  3. Step 3: Cross multiply
    30,203x = 41,680.14 × 17,627.84
  4. Step 4: Simplify right side
    30,203x = 734,730,839.10
  5. Step 5: Solve for x
    x = 734,730,839.10/30,203
  6. Step 6: Final answer
    x = 24,326.42

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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.