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Finding the Fourth Proportional to 105,610.76, 158,414.64 and 26,724.44

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Solution

The fourth proportional to 105,610.76, 158,414.64 and 26,724.44 is: 40,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,610.76 : 158,414.64 = 26,724.44 : x
  2. Step 2: Convert to fraction form
    105,610.76/158,414.64 = 26,724.44/x
  3. Step 3: Cross multiply
    105,610.76x = 158,414.64 × 26,724.44
  4. Step 4: Simplify right side
    105,610.76x = 4,233,542,541.80
  5. Step 5: Solve for x
    x = 4,233,542,541.80/105,610.76
  6. Step 6: Final answer
    x = 40,086.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.