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Finding the Fourth Proportional to 65,164.96, 97,755.90 and 18,418.96

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Solution

The fourth proportional to 65,164.96, 97,755.90 and 18,418.96 is: 27,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.96 : 97,755.90 = 18,418.96 : x
  2. Step 2: Convert to fraction form
    65,164.96/97,755.90 = 18,418.96/x
  3. Step 3: Cross multiply
    65,164.96x = 97,755.90 × 18,418.96
  4. Step 4: Simplify right side
    65,164.96x = 1,800,562,011.86
  5. Step 5: Solve for x
    x = 1,800,562,011.86/65,164.96
  6. Step 6: Final answer
    x = 27,630.83

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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.