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Finding the Fourth Proportional to 49,854.78, 74,796.30 and 20,293.83

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Solution

The fourth proportional to 49,854.78, 74,796.30 and 20,293.83 is: 30,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,854.78 : 74,796.30 = 20,293.83 : x
  2. Step 2: Convert to fraction form
    49,854.78/74,796.30 = 20,293.83/x
  3. Step 3: Cross multiply
    49,854.78x = 74,796.30 × 20,293.83
  4. Step 4: Simplify right side
    49,854.78x = 1,517,902,921.38
  5. Step 5: Solve for x
    x = 1,517,902,921.38/49,854.78
  6. Step 6: Final answer
    x = 30,446.49

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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.