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Finding the Fourth Proportional to 33,458.24, 50,189.28 and 10,082.24

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Solution

The fourth proportional to 33,458.24, 50,189.28 and 10,082.24 is: 15,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458.24 : 50,189.28 = 10,082.24 : x
  2. Step 2: Convert to fraction form
    33,458.24/50,189.28 = 10,082.24/x
  3. Step 3: Cross multiply
    33,458.24x = 50,189.28 × 10,082.24
  4. Step 4: Simplify right side
    33,458.24x = 506,020,366.39
  5. Step 5: Solve for x
    x = 506,020,366.39/33,458.24
  6. Step 6: Final answer
    x = 15,123.94

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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.