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Finding the Fourth Proportional to 65,183.52, 97,777.20 and 18,431.52

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Solution

The fourth proportional to 65,183.52, 97,777.20 and 18,431.52 is: 27,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.52 : 97,777.20 = 18,431.52 : x
  2. Step 2: Convert to fraction form
    65,183.52/97,777.20 = 18,431.52/x
  3. Step 3: Cross multiply
    65,183.52x = 97,777.20 × 18,431.52
  4. Step 4: Simplify right side
    65,183.52x = 1,802,182,417.34
  5. Step 5: Solve for x
    x = 1,802,182,417.34/65,183.52
  6. Step 6: Final answer
    x = 27,647.82

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