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Finding the Fourth Proportional to 83,687.06, 115,489.06 and 45,961.31

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Solution

The fourth proportional to 83,687.06, 115,489.06 and 45,961.31 is: 63,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,687.06 : 115,489.06 = 45,961.31 : x
  2. Step 2: Convert to fraction form
    83,687.06/115,489.06 = 45,961.31/x
  3. Step 3: Cross multiply
    83,687.06x = 115,489.06 × 45,961.31
  4. Step 4: Simplify right side
    83,687.06x = 5,308,028,662.09
  5. Step 5: Solve for x
    x = 5,308,028,662.09/83,687.06
  6. Step 6: Final answer
    x = 63,427.11

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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.