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Finding the Fourth Proportional to 33,838.30, 50,726.49 and 13,046.14

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Solution

The fourth proportional to 33,838.30, 50,726.49 and 13,046.14 is: 19,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.30 : 50,726.49 = 13,046.14 : x
  2. Step 2: Convert to fraction form
    33,838.30/50,726.49 = 13,046.14/x
  3. Step 3: Cross multiply
    33,838.30x = 50,726.49 × 13,046.14
  4. Step 4: Simplify right side
    33,838.30x = 661,784,890.25
  5. Step 5: Solve for x
    x = 661,784,890.25/33,838.30
  6. Step 6: Final answer
    x = 19,557.27

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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.