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Finding the Fourth Proportional to 55,082.66, 82,609.23 and 23,910.50

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Solution

The fourth proportional to 55,082.66, 82,609.23 and 23,910.50 is: 35,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082.66 : 82,609.23 = 23,910.50 : x
  2. Step 2: Convert to fraction form
    55,082.66/82,609.23 = 23,910.50/x
  3. Step 3: Cross multiply
    55,082.66x = 82,609.23 × 23,910.50
  4. Step 4: Simplify right side
    55,082.66x = 1,975,227,993.92
  5. Step 5: Solve for x
    x = 1,975,227,993.92/55,082.66
  6. Step 6: Final answer
    x = 35,859.34

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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.