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Finding the Fourth Proportional to 49,833.60, 74,770.31 and 20,253.75

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Solution

The fourth proportional to 49,833.60, 74,770.31 and 20,253.75 is: 30,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833.60 : 74,770.31 = 20,253.75 : x
  2. Step 2: Convert to fraction form
    49,833.60/74,770.31 = 20,253.75/x
  3. Step 3: Cross multiply
    49,833.60x = 74,770.31 × 20,253.75
  4. Step 4: Simplify right side
    49,833.60x = 1,514,379,166.16
  5. Step 5: Solve for x
    x = 1,514,379,166.16/49,833.60
  6. Step 6: Final answer
    x = 30,388.72

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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.