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Finding the Fourth Proportional to 32,409.62, 48,581.14 and 12,414.42

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Solution

The fourth proportional to 32,409.62, 48,581.14 and 12,414.42 is: 18,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.62 : 48,581.14 = 12,414.42 : x
  2. Step 2: Convert to fraction form
    32,409.62/48,581.14 = 12,414.42/x
  3. Step 3: Cross multiply
    32,409.62x = 48,581.14 × 12,414.42
  4. Step 4: Simplify right side
    32,409.62x = 603,106,676.04
  5. Step 5: Solve for x
    x = 603,106,676.04/32,409.62
  6. Step 6: Final answer
    x = 18,608.88

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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.