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Finding the Fourth Proportional to 85,882.82, 118,518.32 and 52,348.82

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Solution

The fourth proportional to 85,882.82, 118,518.32 and 52,348.82 is: 72,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882.82 : 118,518.32 = 52,348.82 : x
  2. Step 2: Convert to fraction form
    85,882.82/118,518.32 = 52,348.82/x
  3. Step 3: Cross multiply
    85,882.82x = 118,518.32 × 52,348.82
  4. Step 4: Simplify right side
    85,882.82x = 6,204,293,738.66
  5. Step 5: Solve for x
    x = 6,204,293,738.66/85,882.82
  6. Step 6: Final answer
    x = 72,241.39

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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.