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Finding the Fourth Proportional to 34,086.27, 51,141.71 and 11,902.92

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Solution

The fourth proportional to 34,086.27, 51,141.71 and 11,902.92 is: 17,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.27 : 51,141.71 = 11,902.92 : x
  2. Step 2: Convert to fraction form
    34,086.27/51,141.71 = 11,902.92/x
  3. Step 3: Cross multiply
    34,086.27x = 51,141.71 × 11,902.92
  4. Step 4: Simplify right side
    34,086.27x = 608,735,682.79
  5. Step 5: Solve for x
    x = 608,735,682.79/34,086.27
  6. Step 6: Final answer
    x = 17,858.68

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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.