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Finding the Fourth Proportional to 33,642.85, 50,463.87 and 10,269.36

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Solution

The fourth proportional to 33,642.85, 50,463.87 and 10,269.36 is: 15,403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.85 : 50,463.87 = 10,269.36 : x
  2. Step 2: Convert to fraction form
    33,642.85/50,463.87 = 10,269.36/x
  3. Step 3: Cross multiply
    33,642.85x = 50,463.87 × 10,269.36
  4. Step 4: Simplify right side
    33,642.85x = 518,231,648.02
  5. Step 5: Solve for x
    x = 518,231,648.02/33,642.85
  6. Step 6: Final answer
    x = 15,403.92

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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.