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Finding the Fourth Proportional to 66,762, 92,133 and 36,954

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Solution

The fourth proportional to 66,762, 92,133 and 36,954 is: 50,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 92,133 = 36,954 : x
  2. Step 2: Convert to fraction form
    66,762/92,133 = 36,954/x
  3. Step 3: Cross multiply
    66,762x = 92,133 × 36,954
  4. Step 4: Simplify right side
    66,762x = 3,404,682,882
  5. Step 5: Solve for x
    x = 3,404,682,882/66,762
  6. Step 6: Final answer
    x = 50,997.32

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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.