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Finding the Fourth Proportional to 110,604.96, 165,947.04 and 47,398.56

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Solution

The fourth proportional to 110,604.96, 165,947.04 and 47,398.56 is: 71,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,604.96 : 165,947.04 = 47,398.56 : x
  2. Step 2: Convert to fraction form
    110,604.96/165,947.04 = 47,398.56/x
  3. Step 3: Cross multiply
    110,604.96x = 165,947.04 × 47,398.56
  4. Step 4: Simplify right side
    110,604.96x = 7,865,650,732.26
  5. Step 5: Solve for x
    x = 7,865,650,732.26/110,604.96
  6. Step 6: Final answer
    x = 71,114.81

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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.