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Finding the Fourth Proportional to 33,636.40, 50,452.77 and 10,261

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Solution

The fourth proportional to 33,636.40, 50,452.77 and 10,261 is: 15,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,636.40 : 50,452.77 = 10,261 : x
  2. Step 2: Convert to fraction form
    33,636.40/50,452.77 = 10,261/x
  3. Step 3: Cross multiply
    33,636.40x = 50,452.77 × 10,261
  4. Step 4: Simplify right side
    33,636.40x = 517,695,872.97
  5. Step 5: Solve for x
    x = 517,695,872.97/33,636.40
  6. Step 6: Final answer
    x = 15,390.94

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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.