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Finding the Fourth Proportional to 65,231.46, 97,847.19 and 15,983.46

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Solution

The fourth proportional to 65,231.46, 97,847.19 and 15,983.46 is: 23,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.46 : 97,847.19 = 15,983.46 : x
  2. Step 2: Convert to fraction form
    65,231.46/97,847.19 = 15,983.46/x
  3. Step 3: Cross multiply
    65,231.46x = 97,847.19 × 15,983.46
  4. Step 4: Simplify right side
    65,231.46x = 1,563,936,647.48
  5. Step 5: Solve for x
    x = 1,563,936,647.48/65,231.46
  6. Step 6: Final answer
    x = 23,975.19

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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.