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Finding the Fourth Proportional to 65,183.98, 97,845.12 and 57,735.92

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Solution

The fourth proportional to 65,183.98, 97,845.12 and 57,735.92 is: 86,665.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.98 : 97,845.12 = 57,735.92 : x
  2. Step 2: Convert to fraction form
    65,183.98/97,845.12 = 57,735.92/x
  3. Step 3: Cross multiply
    65,183.98x = 97,845.12 × 57,735.92
  4. Step 4: Simplify right side
    65,183.98x = 5,649,178,020.71
  5. Step 5: Solve for x
    x = 5,649,178,020.71/65,183.98
  6. Step 6: Final answer
    x = 86,665.13

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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.