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Finding the Fourth Proportional to 65,768.42, 90,769.31 and 37,093.97

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Solution

The fourth proportional to 65,768.42, 90,769.31 and 37,093.97 is: 51,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,768.42 : 90,769.31 = 37,093.97 : x
  2. Step 2: Convert to fraction form
    65,768.42/90,769.31 = 37,093.97/x
  3. Step 3: Cross multiply
    65,768.42x = 90,769.31 × 37,093.97
  4. Step 4: Simplify right side
    65,768.42x = 3,366,994,062.06
  5. Step 5: Solve for x
    x = 3,366,994,062.06/65,768.42
  6. Step 6: Final answer
    x = 51,194.69

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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.