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Finding the Fourth Proportional to 30,414.88, 41,962.68 and 16,984

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Solution

The fourth proportional to 30,414.88, 41,962.68 and 16,984 is: 23,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.88 : 41,962.68 = 16,984 : x
  2. Step 2: Convert to fraction form
    30,414.88/41,962.68 = 16,984/x
  3. Step 3: Cross multiply
    30,414.88x = 41,962.68 × 16,984
  4. Step 4: Simplify right side
    30,414.88x = 712,694,157.12
  5. Step 5: Solve for x
    x = 712,694,157.12/30,414.88
  6. Step 6: Final answer
    x = 23,432.42

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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.