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Finding the Fourth Proportional to 72,198.28, 108,258.32 and 32,733.84

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Solution

The fourth proportional to 72,198.28, 108,258.32 and 32,733.84 is: 49,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.28 : 108,258.32 = 32,733.84 : x
  2. Step 2: Convert to fraction form
    72,198.28/108,258.32 = 32,733.84/x
  3. Step 3: Cross multiply
    72,198.28x = 108,258.32 × 32,733.84
  4. Step 4: Simplify right side
    72,198.28x = 3,543,710,525.55
  5. Step 5: Solve for x
    x = 3,543,710,525.55/72,198.28
  6. Step 6: Final answer
    x = 49,083.03

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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.