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Finding the Fourth Proportional to 32,849.52, 49,268.88 and 9,469.68

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Solution

The fourth proportional to 32,849.52, 49,268.88 and 9,469.68 is: 14,202.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849.52 : 49,268.88 = 9,469.68 : x
  2. Step 2: Convert to fraction form
    32,849.52/49,268.88 = 9,469.68/x
  3. Step 3: Cross multiply
    32,849.52x = 49,268.88 × 9,469.68
  4. Step 4: Simplify right side
    32,849.52x = 466,560,527.56
  5. Step 5: Solve for x
    x = 466,560,527.56/32,849.52
  6. Step 6: Final answer
    x = 14,202.96

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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.