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Finding the Fourth Proportional to 81,980.56, 113,090.38 and 51,755

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Solution

The fourth proportional to 81,980.56, 113,090.38 and 51,755 is: 71,394.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980.56 : 113,090.38 = 51,755 : x
  2. Step 2: Convert to fraction form
    81,980.56/113,090.38 = 51,755/x
  3. Step 3: Cross multiply
    81,980.56x = 113,090.38 × 51,755
  4. Step 4: Simplify right side
    81,980.56x = 5,852,992,616.90
  5. Step 5: Solve for x
    x = 5,852,992,616.90/81,980.56
  6. Step 6: Final answer
    x = 71,394.88

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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.