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Finding the Fourth Proportional to 34,040.38, 51,083.64 and 11,853.64

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Solution

The fourth proportional to 34,040.38, 51,083.64 and 11,853.64 is: 17,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,040.38 : 51,083.64 = 11,853.64 : x
  2. Step 2: Convert to fraction form
    34,040.38/51,083.64 = 11,853.64/x
  3. Step 3: Cross multiply
    34,040.38x = 51,083.64 × 11,853.64
  4. Step 4: Simplify right side
    34,040.38x = 605,527,078.45
  5. Step 5: Solve for x
    x = 605,527,078.45/34,040.38
  6. Step 6: Final answer
    x = 17,788.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.