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Finding the Fourth Proportional to 32,986, 45,523.56 and 18,084.88

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Solution

The fourth proportional to 32,986, 45,523.56 and 18,084.88 is: 24,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,986 : 45,523.56 = 18,084.88 : x
  2. Step 2: Convert to fraction form
    32,986/45,523.56 = 18,084.88/x
  3. Step 3: Cross multiply
    32,986x = 45,523.56 × 18,084.88
  4. Step 4: Simplify right side
    32,986x = 823,288,119.77
  5. Step 5: Solve for x
    x = 823,288,119.77/32,986
  6. Step 6: Final answer
    x = 24,958.71

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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.