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Finding the Fourth Proportional to 33,956.76, 50,936.50 and 16,178.28

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Solution

The fourth proportional to 33,956.76, 50,936.50 and 16,178.28 is: 24,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,956.76 : 50,936.50 = 16,178.28 : x
  2. Step 2: Convert to fraction form
    33,956.76/50,936.50 = 16,178.28/x
  3. Step 3: Cross multiply
    33,956.76x = 50,936.50 × 16,178.28
  4. Step 4: Simplify right side
    33,956.76x = 824,064,959.22
  5. Step 5: Solve for x
    x = 824,064,959.22/33,956.76
  6. Step 6: Final answer
    x = 24,268.07

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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.