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Finding the Fourth Proportional to 85,169.87, 127,770.29 and 35,222.84

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Solution

The fourth proportional to 85,169.87, 127,770.29 and 35,222.84 is: 52,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,169.87 : 127,770.29 = 35,222.84 : x
  2. Step 2: Convert to fraction form
    85,169.87/127,770.29 = 35,222.84/x
  3. Step 3: Cross multiply
    85,169.87x = 127,770.29 × 35,222.84
  4. Step 4: Simplify right side
    85,169.87x = 4,500,431,666.46
  5. Step 5: Solve for x
    x = 4,500,431,666.46/85,169.87
  6. Step 6: Final answer
    x = 52,840.66

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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.