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Finding the Fourth Proportional to 33,643.84, 50,472.96 and 10,272

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Solution

The fourth proportional to 33,643.84, 50,472.96 and 10,272 is: 15,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.84 : 50,472.96 = 10,272 : x
  2. Step 2: Convert to fraction form
    33,643.84/50,472.96 = 10,272/x
  3. Step 3: Cross multiply
    33,643.84x = 50,472.96 × 10,272
  4. Step 4: Simplify right side
    33,643.84x = 518,458,245.12
  5. Step 5: Solve for x
    x = 518,458,245.12/33,643.84
  6. Step 6: Final answer
    x = 15,410.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.