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Finding the Fourth Proportional to 33,726, 50,589 and 9,102

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Solution

The fourth proportional to 33,726, 50,589 and 9,102 is: 13,653

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,726 : 50,589 = 9,102 : x
  2. Step 2: Convert to fraction form
    33,726/50,589 = 9,102/x
  3. Step 3: Cross multiply
    33,726x = 50,589 × 9,102
  4. Step 4: Simplify right side
    33,726x = 460,461,078
  5. Step 5: Solve for x
    x = 460,461,078/33,726
  6. Step 6: Final answer
    x = 13,653

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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.