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Finding the Fourth Proportional to 81,997.83, 122,914.53 and 28,648.40

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Solution

The fourth proportional to 81,997.83, 122,914.53 and 28,648.40 is: 42,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,997.83 : 122,914.53 = 28,648.40 : x
  2. Step 2: Convert to fraction form
    81,997.83/122,914.53 = 28,648.40/x
  3. Step 3: Cross multiply
    81,997.83x = 122,914.53 × 28,648.40
  4. Step 4: Simplify right side
    81,997.83x = 3,521,304,006.68
  5. Step 5: Solve for x
    x = 3,521,304,006.68/81,997.83
  6. Step 6: Final answer
    x = 42,943.87

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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.