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Finding the Fourth Proportional to 48,721.50, 73,082.25 and 11,785.50

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Solution

The fourth proportional to 48,721.50, 73,082.25 and 11,785.50 is: 17,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721.50 : 73,082.25 = 11,785.50 : x
  2. Step 2: Convert to fraction form
    48,721.50/73,082.25 = 11,785.50/x
  3. Step 3: Cross multiply
    48,721.50x = 73,082.25 × 11,785.50
  4. Step 4: Simplify right side
    48,721.50x = 861,310,857.38
  5. Step 5: Solve for x
    x = 861,310,857.38/48,721.50
  6. Step 6: Final answer
    x = 17,678.25

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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.