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Finding the Fourth Proportional to 106,774.90, 159,986.43 and 36,615.70

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Solution

The fourth proportional to 106,774.90, 159,986.43 and 36,615.70 is: 54,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,774.90 : 159,986.43 = 36,615.70 : x
  2. Step 2: Convert to fraction form
    106,774.90/159,986.43 = 36,615.70/x
  3. Step 3: Cross multiply
    106,774.90x = 159,986.43 × 36,615.70
  4. Step 4: Simplify right side
    106,774.90x = 5,858,015,124.95
  5. Step 5: Solve for x
    x = 5,858,015,124.95/106,774.90
  6. Step 6: Final answer
    x = 54,863.22

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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.