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Finding the Fourth Proportional to 33,642, 50,463 and 9,018

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Solution

The fourth proportional to 33,642, 50,463 and 9,018 is: 13,527

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 50,463 = 9,018 : x
  2. Step 2: Convert to fraction form
    33,642/50,463 = 9,018/x
  3. Step 3: Cross multiply
    33,642x = 50,463 × 9,018
  4. Step 4: Simplify right side
    33,642x = 455,075,334
  5. Step 5: Solve for x
    x = 455,075,334/33,642
  6. Step 6: Final answer
    x = 13,527

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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.