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Finding the Fourth Proportional to 97,193.64, 145,764.30 and 41,034.12

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Solution

The fourth proportional to 97,193.64, 145,764.30 and 41,034.12 is: 61,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,193.64 : 145,764.30 = 41,034.12 : x
  2. Step 2: Convert to fraction form
    97,193.64/145,764.30 = 41,034.12/x
  3. Step 3: Cross multiply
    97,193.64x = 145,764.30 × 41,034.12
  4. Step 4: Simplify right side
    97,193.64x = 5,981,309,777.92
  5. Step 5: Solve for x
    x = 5,981,309,777.92/97,193.64
  6. Step 6: Final answer
    x = 61,540.14

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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.