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Finding the Fourth Proportional to 66,755.50, 92,122.68 and 41,605

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Solution

The fourth proportional to 66,755.50, 92,122.68 and 41,605 is: 57,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,755.50 : 92,122.68 = 41,605 : x
  2. Step 2: Convert to fraction form
    66,755.50/92,122.68 = 41,605/x
  3. Step 3: Cross multiply
    66,755.50x = 92,122.68 × 41,605
  4. Step 4: Simplify right side
    66,755.50x = 3,832,764,101.40
  5. Step 5: Solve for x
    x = 3,832,764,101.40/66,755.50
  6. Step 6: Final answer
    x = 57,414.96

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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.