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Finding the Fourth Proportional to 66,401, 91,632.18 and 36,186.59

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Solution

The fourth proportional to 66,401, 91,632.18 and 36,186.59 is: 49,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,401 : 91,632.18 = 36,186.59 : x
  2. Step 2: Convert to fraction form
    66,401/91,632.18 = 36,186.59/x
  3. Step 3: Cross multiply
    66,401x = 91,632.18 × 36,186.59
  4. Step 4: Simplify right side
    66,401x = 3,315,856,128.47
  5. Step 5: Solve for x
    x = 3,315,856,128.47/66,401
  6. Step 6: Final answer
    x = 49,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.