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Finding the Fourth Proportional to 33,642, 50,462.82 and 10,268.10

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Solution

The fourth proportional to 33,642, 50,462.82 and 10,268.10 is: 15,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642 : 50,462.82 = 10,268.10 : x
  2. Step 2: Convert to fraction form
    33,642/50,462.82 = 10,268.10/x
  3. Step 3: Cross multiply
    33,642x = 50,462.82 × 10,268.10
  4. Step 4: Simplify right side
    33,642x = 518,157,282.04
  5. Step 5: Solve for x
    x = 518,157,282.04/33,642
  6. Step 6: Final answer
    x = 15,402.10

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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.