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Finding the Fourth Proportional to 38,604.64, 57,595 and 32,992.96

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Solution

The fourth proportional to 38,604.64, 57,595 and 32,992.96 is: 49,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,604.64 : 57,595 = 32,992.96 : x
  2. Step 2: Convert to fraction form
    38,604.64/57,595 = 32,992.96/x
  3. Step 3: Cross multiply
    38,604.64x = 57,595 × 32,992.96
  4. Step 4: Simplify right side
    38,604.64x = 1,900,229,531.20
  5. Step 5: Solve for x
    x = 1,900,229,531.20/38,604.64
  6. Step 6: Final answer
    x = 49,222.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.