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Finding the Fourth Proportional to 67,214, 92,755.32 and 37,406

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Solution

The fourth proportional to 67,214, 92,755.32 and 37,406 is: 51,620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,214 : 92,755.32 = 37,406 : x
  2. Step 2: Convert to fraction form
    67,214/92,755.32 = 37,406/x
  3. Step 3: Cross multiply
    67,214x = 92,755.32 × 37,406
  4. Step 4: Simplify right side
    67,214x = 3,469,605,499.92
  5. Step 5: Solve for x
    x = 3,469,605,499.92/67,214
  6. Step 6: Final answer
    x = 51,620.28

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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.