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Finding the Fourth Proportional to 54,676.35, 82,017.90 and 17,237.70

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Solution

The fourth proportional to 54,676.35, 82,017.90 and 17,237.70 is: 25,857.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,676.35 : 82,017.90 = 17,237.70 : x
  2. Step 2: Convert to fraction form
    54,676.35/82,017.90 = 17,237.70/x
  3. Step 3: Cross multiply
    54,676.35x = 82,017.90 × 17,237.70
  4. Step 4: Simplify right side
    54,676.35x = 1,413,799,954.83
  5. Step 5: Solve for x
    x = 1,413,799,954.83/54,676.35
  6. Step 6: Final answer
    x = 25,857.61

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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.