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Finding the Fourth Proportional to 49,527.44, 74,310.62 and 21,806

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Solution

The fourth proportional to 49,527.44, 74,310.62 and 21,806 is: 32,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,527.44 : 74,310.62 = 21,806 : x
  2. Step 2: Convert to fraction form
    49,527.44/74,310.62 = 21,806/x
  3. Step 3: Cross multiply
    49,527.44x = 74,310.62 × 21,806
  4. Step 4: Simplify right side
    49,527.44x = 1,620,417,379.72
  5. Step 5: Solve for x
    x = 1,620,417,379.72/49,527.44
  6. Step 6: Final answer
    x = 32,717.57

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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.