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Finding the Fourth Proportional to 33,162.36, 49,748.94 and 9,791.16

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Solution

The fourth proportional to 33,162.36, 49,748.94 and 9,791.16 is: 14,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.36 : 49,748.94 = 9,791.16 : x
  2. Step 2: Convert to fraction form
    33,162.36/49,748.94 = 9,791.16/x
  3. Step 3: Cross multiply
    33,162.36x = 49,748.94 × 9,791.16
  4. Step 4: Simplify right side
    33,162.36x = 487,099,831.37
  5. Step 5: Solve for x
    x = 487,099,831.37/33,162.36
  6. Step 6: Final answer
    x = 14,688.33

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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.