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Finding the Fourth Proportional to 34,033.70, 51,056.01 and 11,853.38

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Solution

The fourth proportional to 34,033.70, 51,056.01 and 11,853.38 is: 17,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.70 : 51,056.01 = 11,853.38 : x
  2. Step 2: Convert to fraction form
    34,033.70/51,056.01 = 11,853.38/x
  3. Step 3: Cross multiply
    34,033.70x = 51,056.01 × 11,853.38
  4. Step 4: Simplify right side
    34,033.70x = 605,186,415.45
  5. Step 5: Solve for x
    x = 605,186,415.45/34,033.70
  6. Step 6: Final answer
    x = 17,781.97

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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.