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Finding the Fourth Proportional to 49,338.44, 74,027.12 and 21,617

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Solution

The fourth proportional to 49,338.44, 74,027.12 and 21,617 is: 32,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,338.44 : 74,027.12 = 21,617 : x
  2. Step 2: Convert to fraction form
    49,338.44/74,027.12 = 21,617/x
  3. Step 3: Cross multiply
    49,338.44x = 74,027.12 × 21,617
  4. Step 4: Simplify right side
    49,338.44x = 1,600,244,253.04
  5. Step 5: Solve for x
    x = 1,600,244,253.04/49,338.44
  6. Step 6: Final answer
    x = 32,434.03

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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.