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Finding the Fourth Proportional to 47,541.82, 71,233.74 and 33,472.38

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Solution

The fourth proportional to 47,541.82, 71,233.74 and 33,472.38 is: 50,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541.82 : 71,233.74 = 33,472.38 : x
  2. Step 2: Convert to fraction form
    47,541.82/71,233.74 = 33,472.38/x
  3. Step 3: Cross multiply
    47,541.82x = 71,233.74 × 33,472.38
  4. Step 4: Simplify right side
    47,541.82x = 2,384,362,814.10
  5. Step 5: Solve for x
    x = 2,384,362,814.10/47,541.82
  6. Step 6: Final answer
    x = 50,152.96

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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.