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Finding the Fourth Proportional to 82,512.77, 123,773.90 and 23,343.48

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Solution

The fourth proportional to 82,512.77, 123,773.90 and 23,343.48 is: 35,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512.77 : 123,773.90 = 23,343.48 : x
  2. Step 2: Convert to fraction form
    82,512.77/123,773.90 = 23,343.48/x
  3. Step 3: Cross multiply
    82,512.77x = 123,773.90 × 23,343.48
  4. Step 4: Simplify right side
    82,512.77x = 2,889,313,442.45
  5. Step 5: Solve for x
    x = 2,889,313,442.45/82,512.77
  6. Step 6: Final answer
    x = 35,016.56

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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.