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Finding the Fourth Proportional to 32,754.54, 49,142.19 and 11,694.12

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Solution

The fourth proportional to 32,754.54, 49,142.19 and 11,694.12 is: 17,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.54 : 49,142.19 = 11,694.12 : x
  2. Step 2: Convert to fraction form
    32,754.54/49,142.19 = 11,694.12/x
  3. Step 3: Cross multiply
    32,754.54x = 49,142.19 × 11,694.12
  4. Step 4: Simplify right side
    32,754.54x = 574,674,802.92
  5. Step 5: Solve for x
    x = 574,674,802.92/32,754.54
  6. Step 6: Final answer
    x = 17,544.89

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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.