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Finding the Fourth Proportional to 33,574.38, 50,362.70 and 10,200.75

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Solution

The fourth proportional to 33,574.38, 50,362.70 and 10,200.75 is: 15,301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.38 : 50,362.70 = 10,200.75 : x
  2. Step 2: Convert to fraction form
    33,574.38/50,362.70 = 10,200.75/x
  3. Step 3: Cross multiply
    33,574.38x = 50,362.70 × 10,200.75
  4. Step 4: Simplify right side
    33,574.38x = 513,737,261.02
  5. Step 5: Solve for x
    x = 513,737,261.02/33,574.38
  6. Step 6: Final answer
    x = 15,301.47

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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.