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Finding the Fourth Proportional to 49,896.90, 74,801.32 and 20,339.46

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Solution

The fourth proportional to 49,896.90, 74,801.32 and 20,339.46 is: 30,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,896.90 : 74,801.32 = 20,339.46 : x
  2. Step 2: Convert to fraction form
    49,896.90/74,801.32 = 20,339.46/x
  3. Step 3: Cross multiply
    49,896.90x = 74,801.32 × 20,339.46
  4. Step 4: Simplify right side
    49,896.90x = 1,521,418,456.09
  5. Step 5: Solve for x
    x = 1,521,418,456.09/49,896.90
  6. Step 6: Final answer
    x = 30,491.24

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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.