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Finding the Fourth Proportional to 65,091.94, 97,612.56 and 27,653.54

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Solution

The fourth proportional to 65,091.94, 97,612.56 and 27,653.54 is: 41,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,091.94 : 97,612.56 = 27,653.54 : x
  2. Step 2: Convert to fraction form
    65,091.94/97,612.56 = 27,653.54/x
  3. Step 3: Cross multiply
    65,091.94x = 97,612.56 × 27,653.54
  4. Step 4: Simplify right side
    65,091.94x = 2,699,332,344.40
  5. Step 5: Solve for x
    x = 2,699,332,344.40/65,091.94
  6. Step 6: Final answer
    x = 41,469.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.