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Finding the Fourth Proportional to 33,971.64, 50,952.86 and 12,917

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Solution

The fourth proportional to 33,971.64, 50,952.86 and 12,917 is: 19,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.64 : 50,952.86 = 12,917 : x
  2. Step 2: Convert to fraction form
    33,971.64/50,952.86 = 12,917/x
  3. Step 3: Cross multiply
    33,971.64x = 50,952.86 × 12,917
  4. Step 4: Simplify right side
    33,971.64x = 658,158,092.62
  5. Step 5: Solve for x
    x = 658,158,092.62/33,971.64
  6. Step 6: Final answer
    x = 19,373.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.