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Finding the Fourth Proportional to 65,016.37, 97,538.19 and 36,949.42

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Solution

The fourth proportional to 65,016.37, 97,538.19 and 36,949.42 is: 55,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,016.37 : 97,538.19 = 36,949.42 : x
  2. Step 2: Convert to fraction form
    65,016.37/97,538.19 = 36,949.42/x
  3. Step 3: Cross multiply
    65,016.37x = 97,538.19 × 36,949.42
  4. Step 4: Simplify right side
    65,016.37x = 3,603,979,548.35
  5. Step 5: Solve for x
    x = 3,603,979,548.35/65,016.37
  6. Step 6: Final answer
    x = 55,431.88

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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.