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Finding the Fourth Proportional to 72,231.64, 108,390.42 and 32,788.24

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Solution

The fourth proportional to 72,231.64, 108,390.42 and 32,788.24 is: 49,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,231.64 : 108,390.42 = 32,788.24 : x
  2. Step 2: Convert to fraction form
    72,231.64/108,390.42 = 32,788.24/x
  3. Step 3: Cross multiply
    72,231.64x = 108,390.42 × 32,788.24
  4. Step 4: Simplify right side
    72,231.64x = 3,553,931,104.66
  5. Step 5: Solve for x
    x = 3,553,931,104.66/72,231.64
  6. Step 6: Final answer
    x = 49,201.86

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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.