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Finding the Fourth Proportional to 85,584.29, 118,105.62 and 47,858.54

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Solution

The fourth proportional to 85,584.29, 118,105.62 and 47,858.54 is: 66,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,584.29 : 118,105.62 = 47,858.54 : x
  2. Step 2: Convert to fraction form
    85,584.29/118,105.62 = 47,858.54/x
  3. Step 3: Cross multiply
    85,584.29x = 118,105.62 × 47,858.54
  4. Step 4: Simplify right side
    85,584.29x = 5,652,361,948.47
  5. Step 5: Solve for x
    x = 5,652,361,948.47/85,584.29
  6. Step 6: Final answer
    x = 66,044.39

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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.