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Finding the Fourth Proportional to 33,490.26, 50,233.95 and 10,116

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Solution

The fourth proportional to 33,490.26, 50,233.95 and 10,116 is: 15,173.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,490.26 : 50,233.95 = 10,116 : x
  2. Step 2: Convert to fraction form
    33,490.26/50,233.95 = 10,116/x
  3. Step 3: Cross multiply
    33,490.26x = 50,233.95 × 10,116
  4. Step 4: Simplify right side
    33,490.26x = 508,166,638.20
  5. Step 5: Solve for x
    x = 508,166,638.20/33,490.26
  6. Step 6: Final answer
    x = 15,173.57

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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.