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Finding the Fourth Proportional to 33,648.34, 50,472.89 and 14,411.48

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Solution

The fourth proportional to 33,648.34, 50,472.89 and 14,411.48 is: 21,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648.34 : 50,472.89 = 14,411.48 : x
  2. Step 2: Convert to fraction form
    33,648.34/50,472.89 = 14,411.48/x
  3. Step 3: Cross multiply
    33,648.34x = 50,472.89 × 14,411.48
  4. Step 4: Simplify right side
    33,648.34x = 727,389,044.78
  5. Step 5: Solve for x
    x = 727,389,044.78/33,648.34
  6. Step 6: Final answer
    x = 21,617.38

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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.