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Finding the Fourth Proportional to 74,611.72, 111,956.46 and 33,049

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Solution

The fourth proportional to 74,611.72, 111,956.46 and 33,049 is: 49,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,611.72 : 111,956.46 = 33,049 : x
  2. Step 2: Convert to fraction form
    74,611.72/111,956.46 = 33,049/x
  3. Step 3: Cross multiply
    74,611.72x = 111,956.46 × 33,049
  4. Step 4: Simplify right side
    74,611.72x = 3,700,049,046.54
  5. Step 5: Solve for x
    x = 3,700,049,046.54/74,611.72
  6. Step 6: Final answer
    x = 49,590.72

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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.