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Finding the Fourth Proportional to 65,102.38, 97,621.26 and 20,723.36

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Solution

The fourth proportional to 65,102.38, 97,621.26 and 20,723.36 is: 31,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.38 : 97,621.26 = 20,723.36 : x
  2. Step 2: Convert to fraction form
    65,102.38/97,621.26 = 20,723.36/x
  3. Step 3: Cross multiply
    65,102.38x = 97,621.26 × 20,723.36
  4. Step 4: Simplify right side
    65,102.38x = 2,023,040,614.50
  5. Step 5: Solve for x
    x = 2,023,040,614.50/65,102.38
  6. Step 6: Final answer
    x = 31,074.76

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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.