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Finding the Fourth Proportional to 33,580, 50,356.56 and 10,202.08

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Solution

The fourth proportional to 33,580, 50,356.56 and 10,202.08 is: 15,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,580 : 50,356.56 = 10,202.08 : x
  2. Step 2: Convert to fraction form
    33,580/50,356.56 = 10,202.08/x
  3. Step 3: Cross multiply
    33,580x = 50,356.56 × 10,202.08
  4. Step 4: Simplify right side
    33,580x = 513,741,653.64
  5. Step 5: Solve for x
    x = 513,741,653.64/33,580
  6. Step 6: Final answer
    x = 15,299.04

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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.