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Finding the Fourth Proportional to 73,165.56, 109,754.82 and 20,575.48

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Solution

The fourth proportional to 73,165.56, 109,754.82 and 20,575.48 is: 30,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.56 : 109,754.82 = 20,575.48 : x
  2. Step 2: Convert to fraction form
    73,165.56/109,754.82 = 20,575.48/x
  3. Step 3: Cross multiply
    73,165.56x = 109,754.82 × 20,575.48
  4. Step 4: Simplify right side
    73,165.56x = 2,258,258,103.81
  5. Step 5: Solve for x
    x = 2,258,258,103.81/73,165.56
  6. Step 6: Final answer
    x = 30,865.04

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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.