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Finding the Fourth Proportional to 49,830.74, 74,661.50 and 30,067.76

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Solution

The fourth proportional to 49,830.74, 74,661.50 and 30,067.76 is: 45,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,830.74 : 74,661.50 = 30,067.76 : x
  2. Step 2: Convert to fraction form
    49,830.74/74,661.50 = 30,067.76/x
  3. Step 3: Cross multiply
    49,830.74x = 74,661.50 × 30,067.76
  4. Step 4: Simplify right side
    49,830.74x = 2,244,903,735.96
  5. Step 5: Solve for x
    x = 2,244,903,735.96/49,830.74
  6. Step 6: Final answer
    x = 45,050.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.