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Finding the Fourth Proportional to 66,057, 91,163.46 and 37,761.96

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Solution

The fourth proportional to 66,057, 91,163.46 and 37,761.96 is: 52,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,057 : 91,163.46 = 37,761.96 : x
  2. Step 2: Convert to fraction form
    66,057/91,163.46 = 37,761.96/x
  3. Step 3: Cross multiply
    66,057x = 91,163.46 × 37,761.96
  4. Step 4: Simplify right side
    66,057x = 3,442,510,929.98
  5. Step 5: Solve for x
    x = 3,442,510,929.98/66,057
  6. Step 6: Final answer
    x = 52,114.25

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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.