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Finding the Fourth Proportional to 33,893.92, 50,831.14 and 13,112.56

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Solution

The fourth proportional to 33,893.92, 50,831.14 and 13,112.56 is: 19,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893.92 : 50,831.14 = 13,112.56 : x
  2. Step 2: Convert to fraction form
    33,893.92/50,831.14 = 13,112.56/x
  3. Step 3: Cross multiply
    33,893.92x = 50,831.14 × 13,112.56
  4. Step 4: Simplify right side
    33,893.92x = 666,526,373.12
  5. Step 5: Solve for x
    x = 666,526,373.12/33,893.92
  6. Step 6: Final answer
    x = 19,665.07

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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.