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Finding the Fourth Proportional to 33,857.58, 50,792.26 and 14,150

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Solution

The fourth proportional to 33,857.58, 50,792.26 and 14,150 is: 21,227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,857.58 : 50,792.26 = 14,150 : x
  2. Step 2: Convert to fraction form
    33,857.58/50,792.26 = 14,150/x
  3. Step 3: Cross multiply
    33,857.58x = 50,792.26 × 14,150
  4. Step 4: Simplify right side
    33,857.58x = 718,710,479
  5. Step 5: Solve for x
    x = 718,710,479/33,857.58
  6. Step 6: Final answer
    x = 21,227.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.