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Finding the Fourth Proportional to 81,997.50, 113,137.08 and 46,180.38

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Solution

The fourth proportional to 81,997.50, 113,137.08 and 46,180.38 is: 63,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,997.50 : 113,137.08 = 46,180.38 : x
  2. Step 2: Convert to fraction form
    81,997.50/113,137.08 = 46,180.38/x
  3. Step 3: Cross multiply
    81,997.50x = 113,137.08 × 46,180.38
  4. Step 4: Simplify right side
    81,997.50x = 5,224,713,346.49
  5. Step 5: Solve for x
    x = 5,224,713,346.49/81,997.50
  6. Step 6: Final answer
    x = 63,717.96

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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.