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Finding the Fourth Proportional to 97,342.80, 146,003.40 and 27,229.20

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Solution

The fourth proportional to 97,342.80, 146,003.40 and 27,229.20 is: 40,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.80 : 146,003.40 = 27,229.20 : x
  2. Step 2: Convert to fraction form
    97,342.80/146,003.40 = 27,229.20/x
  3. Step 3: Cross multiply
    97,342.80x = 146,003.40 × 27,229.20
  4. Step 4: Simplify right side
    97,342.80x = 3,975,555,779.28
  5. Step 5: Solve for x
    x = 3,975,555,779.28/97,342.80
  6. Step 6: Final answer
    x = 40,840.78

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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.