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Finding the Fourth Proportional to 33,644, 50,465.82 and 10,270.10

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Solution

The fourth proportional to 33,644, 50,465.82 and 10,270.10 is: 15,405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644 : 50,465.82 = 10,270.10 : x
  2. Step 2: Convert to fraction form
    33,644/50,465.82 = 10,270.10/x
  3. Step 3: Cross multiply
    33,644x = 50,465.82 × 10,270.10
  4. Step 4: Simplify right side
    33,644x = 518,289,017.98
  5. Step 5: Solve for x
    x = 518,289,017.98/33,644
  6. Step 6: Final answer
    x = 15,405.10

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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.