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Finding the Fourth Proportional to 33,096.50, 49,645.58 and 9,723.68

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Solution

The fourth proportional to 33,096.50, 49,645.58 and 9,723.68 is: 14,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.50 : 49,645.58 = 9,723.68 : x
  2. Step 2: Convert to fraction form
    33,096.50/49,645.58 = 9,723.68/x
  3. Step 3: Cross multiply
    33,096.50x = 49,645.58 × 9,723.68
  4. Step 4: Simplify right side
    33,096.50x = 482,737,509.42
  5. Step 5: Solve for x
    x = 482,737,509.42/33,096.50
  6. Step 6: Final answer
    x = 14,585.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.