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Finding the Fourth Proportional to 33,573.38, 50,362.90 and 10,200.02

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Solution

The fourth proportional to 33,573.38, 50,362.90 and 10,200.02 is: 15,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573.38 : 50,362.90 = 10,200.02 : x
  2. Step 2: Convert to fraction form
    33,573.38/50,362.90 = 10,200.02/x
  3. Step 3: Cross multiply
    33,573.38x = 50,362.90 × 10,200.02
  4. Step 4: Simplify right side
    33,573.38x = 513,702,587.26
  5. Step 5: Solve for x
    x = 513,702,587.26/33,573.38
  6. Step 6: Final answer
    x = 15,300.89

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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.