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Finding the Fourth Proportional to 97,161.50, 145,742.26 and 27,042.64

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Solution

The fourth proportional to 97,161.50, 145,742.26 and 27,042.64 is: 40,563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,161.50 : 145,742.26 = 27,042.64 : x
  2. Step 2: Convert to fraction form
    97,161.50/145,742.26 = 27,042.64/x
  3. Step 3: Cross multiply
    97,161.50x = 145,742.26 × 27,042.64
  4. Step 4: Simplify right side
    97,161.50x = 3,941,255,469.97
  5. Step 5: Solve for x
    x = 3,941,255,469.97/97,161.50
  6. Step 6: Final answer
    x = 40,563.96

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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.