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Finding the Fourth Proportional to 72,577.44, 108,878.92 and 33,138.54

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Solution

The fourth proportional to 72,577.44, 108,878.92 and 33,138.54 is: 49,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,577.44 : 108,878.92 = 33,138.54 : x
  2. Step 2: Convert to fraction form
    72,577.44/108,878.92 = 33,138.54/x
  3. Step 3: Cross multiply
    72,577.44x = 108,878.92 × 33,138.54
  4. Step 4: Simplify right side
    72,577.44x = 3,608,088,362.73
  5. Step 5: Solve for x
    x = 3,608,088,362.73/72,577.44
  6. Step 6: Final answer
    x = 49,713.64

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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.