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Finding the Fourth Proportional to 106,770.55, 160,166.76 and 36,640.75

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Solution

The fourth proportional to 106,770.55, 160,166.76 and 36,640.75 is: 54,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770.55 : 160,166.76 = 36,640.75 : x
  2. Step 2: Convert to fraction form
    106,770.55/160,166.76 = 36,640.75/x
  3. Step 3: Cross multiply
    106,770.55x = 160,166.76 × 36,640.75
  4. Step 4: Simplify right side
    106,770.55x = 5,868,630,211.47
  5. Step 5: Solve for x
    x = 5,868,630,211.47/106,770.55
  6. Step 6: Final answer
    x = 54,964.88

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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.