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Finding the Fourth Proportional to 65,842.56, 98,767.17 and 37,755.09

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Solution

The fourth proportional to 65,842.56, 98,767.17 and 37,755.09 is: 56,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.56 : 98,767.17 = 37,755.09 : x
  2. Step 2: Convert to fraction form
    65,842.56/98,767.17 = 37,755.09/x
  3. Step 3: Cross multiply
    65,842.56x = 98,767.17 × 37,755.09
  4. Step 4: Simplify right side
    65,842.56x = 3,728,963,392.40
  5. Step 5: Solve for x
    x = 3,728,963,392.40/65,842.56
  6. Step 6: Final answer
    x = 56,634.54

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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.