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Finding the Fourth Proportional to 33,096.12, 49,645.02 and 9,723.30

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Solution

The fourth proportional to 33,096.12, 49,645.02 and 9,723.30 is: 14,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.12 : 49,645.02 = 9,723.30 : x
  2. Step 2: Convert to fraction form
    33,096.12/49,645.02 = 9,723.30/x
  3. Step 3: Cross multiply
    33,096.12x = 49,645.02 × 9,723.30
  4. Step 4: Simplify right side
    33,096.12x = 482,713,422.97
  5. Step 5: Solve for x
    x = 482,713,422.97/33,096.12
  6. Step 6: Final answer
    x = 14,585.20

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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.