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Finding the Fourth Proportional to 97,657.34, 146,473.05 and 27,542.30

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Solution

The fourth proportional to 97,657.34, 146,473.05 and 27,542.30 is: 41,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,657.34 : 146,473.05 = 27,542.30 : x
  2. Step 2: Convert to fraction form
    97,657.34/146,473.05 = 27,542.30/x
  3. Step 3: Cross multiply
    97,657.34x = 146,473.05 × 27,542.30
  4. Step 4: Simplify right side
    97,657.34x = 4,034,204,685.02
  5. Step 5: Solve for x
    x = 4,034,204,685.02/97,657.34
  6. Step 6: Final answer
    x = 41,309.79

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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.