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Finding the Fourth Proportional to 85,824, 118,427.52 and 48,092.80

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Solution

The fourth proportional to 85,824, 118,427.52 and 48,092.80 is: 66,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,824 : 118,427.52 = 48,092.80 : x
  2. Step 2: Convert to fraction form
    85,824/118,427.52 = 48,092.80/x
  3. Step 3: Cross multiply
    85,824x = 118,427.52 × 48,092.80
  4. Step 4: Simplify right side
    85,824x = 5,695,511,033.86
  5. Step 5: Solve for x
    x = 5,695,511,033.86/85,824
  6. Step 6: Final answer
    x = 66,362.68

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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.