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Finding the Fourth Proportional to 67,185.86, 100,770.08 and 27,737.64

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Solution

The fourth proportional to 67,185.86, 100,770.08 and 27,737.64 is: 41,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,185.86 : 100,770.08 = 27,737.64 : x
  2. Step 2: Convert to fraction form
    67,185.86/100,770.08 = 27,737.64/x
  3. Step 3: Cross multiply
    67,185.86x = 100,770.08 × 27,737.64
  4. Step 4: Simplify right side
    67,185.86x = 2,795,124,063.12
  5. Step 5: Solve for x
    x = 2,795,124,063.12/67,185.86
  6. Step 6: Final answer
    x = 41,602.87

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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.