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Finding the Fourth Proportional to 110,047.78, 165,082.61 and 39,932.56

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Solution

The fourth proportional to 110,047.78, 165,082.61 and 39,932.56 is: 59,902.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,047.78 : 165,082.61 = 39,932.56 : x
  2. Step 2: Convert to fraction form
    110,047.78/165,082.61 = 39,932.56/x
  3. Step 3: Cross multiply
    110,047.78x = 165,082.61 × 39,932.56
  4. Step 4: Simplify right side
    110,047.78x = 6,592,171,228.78
  5. Step 5: Solve for x
    x = 6,592,171,228.78/110,047.78
  6. Step 6: Final answer
    x = 59,902.81

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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.