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Finding the Fourth Proportional to 32,831, 45,306.84 and 17,927

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Solution

The fourth proportional to 32,831, 45,306.84 and 17,927 is: 24,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831 : 45,306.84 = 17,927 : x
  2. Step 2: Convert to fraction form
    32,831/45,306.84 = 17,927/x
  3. Step 3: Cross multiply
    32,831x = 45,306.84 × 17,927
  4. Step 4: Simplify right side
    32,831x = 812,215,720.68
  5. Step 5: Solve for x
    x = 812,215,720.68/32,831
  6. Step 6: Final answer
    x = 24,739.29

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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.