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Finding the Fourth Proportional to 33,522, 50,289.47 and 12,743.88

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Solution

The fourth proportional to 33,522, 50,289.47 and 12,743.88 is: 19,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,522 : 50,289.47 = 12,743.88 : x
  2. Step 2: Convert to fraction form
    33,522/50,289.47 = 12,743.88/x
  3. Step 3: Cross multiply
    33,522x = 50,289.47 × 12,743.88
  4. Step 4: Simplify right side
    33,522x = 640,882,970.94
  5. Step 5: Solve for x
    x = 640,882,970.94/33,522
  6. Step 6: Final answer
    x = 19,118.28

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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.