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Finding the Fourth Proportional to 68,160.96, 102,022.92 and 36,491.76

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Solution

The fourth proportional to 68,160.96, 102,022.92 and 36,491.76 is: 54,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160.96 : 102,022.92 = 36,491.76 : x
  2. Step 2: Convert to fraction form
    68,160.96/102,022.92 = 36,491.76/x
  3. Step 3: Cross multiply
    68,160.96x = 102,022.92 × 36,491.76
  4. Step 4: Simplify right side
    68,160.96x = 3,722,995,911.14
  5. Step 5: Solve for x
    x = 3,722,995,911.14/68,160.96
  6. Step 6: Final answer
    x = 54,620.65

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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.