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Finding the Fourth Proportional to 32,351.64, 48,480.72 and 18,282

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Solution

The fourth proportional to 32,351.64, 48,480.72 and 18,282 is: 27,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.64 : 48,480.72 = 18,282 : x
  2. Step 2: Convert to fraction form
    32,351.64/48,480.72 = 18,282/x
  3. Step 3: Cross multiply
    32,351.64x = 48,480.72 × 18,282
  4. Step 4: Simplify right side
    32,351.64x = 886,324,523.04
  5. Step 5: Solve for x
    x = 886,324,523.04/32,351.64
  6. Step 6: Final answer
    x = 27,396.59

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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.