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Finding the Fourth Proportional to 84,363.62, 116,375.74 and 54,115.29

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Solution

The fourth proportional to 84,363.62, 116,375.74 and 54,115.29 is: 74,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,363.62 : 116,375.74 = 54,115.29 : x
  2. Step 2: Convert to fraction form
    84,363.62/116,375.74 = 54,115.29/x
  3. Step 3: Cross multiply
    84,363.62x = 116,375.74 × 54,115.29
  4. Step 4: Simplify right side
    84,363.62x = 6,297,706,783.78
  5. Step 5: Solve for x
    x = 6,297,706,783.78/84,363.62
  6. Step 6: Final answer
    x = 74,649.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.