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Finding the Fourth Proportional to 51,083.96, 76,625.17 and 22,984.17

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Solution

The fourth proportional to 51,083.96, 76,625.17 and 22,984.17 is: 34,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,083.96 : 76,625.17 = 22,984.17 : x
  2. Step 2: Convert to fraction form
    51,083.96/76,625.17 = 22,984.17/x
  3. Step 3: Cross multiply
    51,083.96x = 76,625.17 × 22,984.17
  4. Step 4: Simplify right side
    51,083.96x = 1,761,165,933.56
  5. Step 5: Solve for x
    x = 1,761,165,933.56/51,083.96
  6. Step 6: Final answer
    x = 34,475.91

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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.