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Finding the Fourth Proportional to 36,968.84, 51,016.80 and 20,201.84

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Solution

The fourth proportional to 36,968.84, 51,016.80 and 20,201.84 is: 27,878.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968.84 : 51,016.80 = 20,201.84 : x
  2. Step 2: Convert to fraction form
    36,968.84/51,016.80 = 20,201.84/x
  3. Step 3: Cross multiply
    36,968.84x = 51,016.80 × 20,201.84
  4. Step 4: Simplify right side
    36,968.84x = 1,030,633,230.91
  5. Step 5: Solve for x
    x = 1,030,633,230.91/36,968.84
  6. Step 6: Final answer
    x = 27,878.43

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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.