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Finding the Fourth Proportional to 34,195.46, 51,383.40 and 18,412.16

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Solution

The fourth proportional to 34,195.46, 51,383.40 and 18,412.16 is: 27,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.46 : 51,383.40 = 18,412.16 : x
  2. Step 2: Convert to fraction form
    34,195.46/51,383.40 = 18,412.16/x
  3. Step 3: Cross multiply
    34,195.46x = 51,383.40 × 18,412.16
  4. Step 4: Simplify right side
    34,195.46x = 946,079,382.14
  5. Step 5: Solve for x
    x = 946,079,382.14/34,195.46
  6. Step 6: Final answer
    x = 27,666.81

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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.