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Finding the Fourth Proportional to 72,166.20, 108,265.70 and 32,734.59

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Solution

The fourth proportional to 72,166.20, 108,265.70 and 32,734.59 is: 49,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,166.20 : 108,265.70 = 32,734.59 : x
  2. Step 2: Convert to fraction form
    72,166.20/108,265.70 = 32,734.59/x
  3. Step 3: Cross multiply
    72,166.20x = 108,265.70 × 32,734.59
  4. Step 4: Simplify right side
    72,166.20x = 3,544,033,300.56
  5. Step 5: Solve for x
    x = 3,544,033,300.56/72,166.20
  6. Step 6: Final answer
    x = 49,109.32

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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.