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Finding the Fourth Proportional to 106,912.28, 160,404.05 and 35,841.95

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Solution

The fourth proportional to 106,912.28, 160,404.05 and 35,841.95 is: 53,774.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912.28 : 160,404.05 = 35,841.95 : x
  2. Step 2: Convert to fraction form
    106,912.28/160,404.05 = 35,841.95/x
  3. Step 3: Cross multiply
    106,912.28x = 160,404.05 × 35,841.95
  4. Step 4: Simplify right side
    106,912.28x = 5,749,192,958.67
  5. Step 5: Solve for x
    x = 5,749,192,958.67/106,912.28
  6. Step 6: Final answer
    x = 53,774.86

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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.