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Finding the Fourth Proportional to 81,986.33, 113,193.44 and 66,915

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Solution

The fourth proportional to 81,986.33, 113,193.44 and 66,915 is: 92,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,986.33 : 113,193.44 = 66,915 : x
  2. Step 2: Convert to fraction form
    81,986.33/113,193.44 = 66,915/x
  3. Step 3: Cross multiply
    81,986.33x = 113,193.44 × 66,915
  4. Step 4: Simplify right side
    81,986.33x = 7,574,338,703.03
  5. Step 5: Solve for x
    x = 7,574,338,703.03/81,986.33
  6. Step 6: Final answer
    x = 92,385.39

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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.