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Finding the Fourth Proportional to 65,255.10, 97,893.45 and 27,833.10

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Solution

The fourth proportional to 65,255.10, 97,893.45 and 27,833.10 is: 41,754.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,255.10 : 97,893.45 = 27,833.10 : x
  2. Step 2: Convert to fraction form
    65,255.10/97,893.45 = 27,833.10/x
  3. Step 3: Cross multiply
    65,255.10x = 97,893.45 × 27,833.10
  4. Step 4: Simplify right side
    65,255.10x = 2,724,678,183.20
  5. Step 5: Solve for x
    x = 2,724,678,183.20/65,255.10
  6. Step 6: Final answer
    x = 41,754.26

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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.