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Finding the Fourth Proportional to 33,252.75, 49,901.74 and 13,534.90

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Solution

The fourth proportional to 33,252.75, 49,901.74 and 13,534.90 is: 20,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252.75 : 49,901.74 = 13,534.90 : x
  2. Step 2: Convert to fraction form
    33,252.75/49,901.74 = 13,534.90/x
  3. Step 3: Cross multiply
    33,252.75x = 49,901.74 × 13,534.90
  4. Step 4: Simplify right side
    33,252.75x = 675,414,902.13
  5. Step 5: Solve for x
    x = 675,414,902.13/33,252.75
  6. Step 6: Final answer
    x = 20,311.55

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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.