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Finding the Fourth Proportional to 33,249.66, 49,873.95 and 15,732.06

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Solution

The fourth proportional to 33,249.66, 49,873.95 and 15,732.06 is: 23,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,249.66 : 49,873.95 = 15,732.06 : x
  2. Step 2: Convert to fraction form
    33,249.66/49,873.95 = 15,732.06/x
  3. Step 3: Cross multiply
    33,249.66x = 49,873.95 × 15,732.06
  4. Step 4: Simplify right side
    33,249.66x = 784,619,973.84
  5. Step 5: Solve for x
    x = 784,619,973.84/33,249.66
  6. Step 6: Final answer
    x = 23,597.83

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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.