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Finding the Fourth Proportional to 33,422.52, 50,133.85 and 13,697.54

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Solution

The fourth proportional to 33,422.52, 50,133.85 and 13,697.54 is: 20,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.52 : 50,133.85 = 13,697.54 : x
  2. Step 2: Convert to fraction form
    33,422.52/50,133.85 = 13,697.54/x
  3. Step 3: Cross multiply
    33,422.52x = 50,133.85 × 13,697.54
  4. Step 4: Simplify right side
    33,422.52x = 686,710,130.82
  5. Step 5: Solve for x
    x = 686,710,130.82/33,422.52
  6. Step 6: Final answer
    x = 20,546.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.