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Finding the Fourth Proportional to 65,902.10, 90,944.74 and 35,687.43

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Solution

The fourth proportional to 65,902.10, 90,944.74 and 35,687.43 is: 49,248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.10 : 90,944.74 = 35,687.43 : x
  2. Step 2: Convert to fraction form
    65,902.10/90,944.74 = 35,687.43/x
  3. Step 3: Cross multiply
    65,902.10x = 90,944.74 × 35,687.43
  4. Step 4: Simplify right side
    65,902.10x = 3,245,584,042.62
  5. Step 5: Solve for x
    x = 3,245,584,042.62/65,902.10
  6. Step 6: Final answer
    x = 49,248.57

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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.