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Finding the Fourth Proportional to 33,644.39, 50,464.76 and 10,269

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Solution

The fourth proportional to 33,644.39, 50,464.76 and 10,269 is: 15,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.39 : 50,464.76 = 10,269 : x
  2. Step 2: Convert to fraction form
    33,644.39/50,464.76 = 10,269/x
  3. Step 3: Cross multiply
    33,644.39x = 50,464.76 × 10,269
  4. Step 4: Simplify right side
    33,644.39x = 518,222,569.10
  5. Step 5: Solve for x
    x = 518,222,569.10/33,644.39
  6. Step 6: Final answer
    x = 15,402.94

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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.