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Finding the Fourth Proportional to 33,533.56, 50,291.97 and 10,159.66

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Solution

The fourth proportional to 33,533.56, 50,291.97 and 10,159.66 is: 15,236.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,533.56 : 50,291.97 = 10,159.66 : x
  2. Step 2: Convert to fraction form
    33,533.56/50,291.97 = 10,159.66/x
  3. Step 3: Cross multiply
    33,533.56x = 50,291.97 × 10,159.66
  4. Step 4: Simplify right side
    33,533.56x = 510,949,315.93
  5. Step 5: Solve for x
    x = 510,949,315.93/33,533.56
  6. Step 6: Final answer
    x = 15,236.95

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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.