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Finding the Fourth Proportional to 33,901.74, 50,857.47 and 12,849.48

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Solution

The fourth proportional to 33,901.74, 50,857.47 and 12,849.48 is: 19,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,901.74 : 50,857.47 = 12,849.48 : x
  2. Step 2: Convert to fraction form
    33,901.74/50,857.47 = 12,849.48/x
  3. Step 3: Cross multiply
    33,901.74x = 50,857.47 × 12,849.48
  4. Step 4: Simplify right side
    33,901.74x = 653,492,043.62
  5. Step 5: Solve for x
    x = 653,492,043.62/33,901.74
  6. Step 6: Final answer
    x = 19,276.06

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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.