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Finding the Fourth Proportional to 67,165.50, 92,635.92 and 41,657.56

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Solution

The fourth proportional to 67,165.50, 92,635.92 and 41,657.56 is: 57,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.50 : 92,635.92 = 41,657.56 : x
  2. Step 2: Convert to fraction form
    67,165.50/92,635.92 = 41,657.56/x
  3. Step 3: Cross multiply
    67,165.50x = 92,635.92 × 41,657.56
  4. Step 4: Simplify right side
    67,165.50x = 3,858,986,395.56
  5. Step 5: Solve for x
    x = 3,858,986,395.56/67,165.50
  6. Step 6: Final answer
    x = 57,454.89

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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.