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Finding the Fourth Proportional to 65,902.94, 90,945.60 and 35,687.84

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Solution

The fourth proportional to 65,902.94, 90,945.60 and 35,687.84 is: 49,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,902.94 : 90,945.60 = 35,687.84 : x
  2. Step 2: Convert to fraction form
    65,902.94/90,945.60 = 35,687.84/x
  3. Step 3: Cross multiply
    65,902.94x = 90,945.60 × 35,687.84
  4. Step 4: Simplify right side
    65,902.94x = 3,245,651,566.78
  5. Step 5: Solve for x
    x = 3,245,651,566.78/65,902.94
  6. Step 6: Final answer
    x = 49,248.97

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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.