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Finding the Fourth Proportional to 66,741, 92,105.46 and 36,933

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Solution

The fourth proportional to 66,741, 92,105.46 and 36,933 is: 50,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,741 : 92,105.46 = 36,933 : x
  2. Step 2: Convert to fraction form
    66,741/92,105.46 = 36,933/x
  3. Step 3: Cross multiply
    66,741x = 92,105.46 × 36,933
  4. Step 4: Simplify right side
    66,741x = 3,401,730,954.18
  5. Step 5: Solve for x
    x = 3,401,730,954.18/66,741
  6. Step 6: Final answer
    x = 50,969.13

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