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Finding the Fourth Proportional to 33,527.28, 50,291.22 and 11,340.78

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Solution

The fourth proportional to 33,527.28, 50,291.22 and 11,340.78 is: 17,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527.28 : 50,291.22 = 11,340.78 : x
  2. Step 2: Convert to fraction form
    33,527.28/50,291.22 = 11,340.78/x
  3. Step 3: Cross multiply
    33,527.28x = 50,291.22 × 11,340.78
  4. Step 4: Simplify right side
    33,527.28x = 570,341,661.95
  5. Step 5: Solve for x
    x = 570,341,661.95/33,527.28
  6. Step 6: Final answer
    x = 17,011.27

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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.