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Finding the Fourth Proportional to 106,820.70, 160,234.32 and 36,699

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Solution

The fourth proportional to 106,820.70, 160,234.32 and 36,699 is: 55,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,820.70 : 160,234.32 = 36,699 : x
  2. Step 2: Convert to fraction form
    106,820.70/160,234.32 = 36,699/x
  3. Step 3: Cross multiply
    106,820.70x = 160,234.32 × 36,699
  4. Step 4: Simplify right side
    106,820.70x = 5,880,439,309.68
  5. Step 5: Solve for x
    x = 5,880,439,309.68/106,820.70
  6. Step 6: Final answer
    x = 55,049.62

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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.