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Finding the Fourth Proportional to 31,269.96, 46,905.02 and 7,896.20

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Solution

The fourth proportional to 31,269.96, 46,905.02 and 7,896.20 is: 11,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269.96 : 46,905.02 = 7,896.20 : x
  2. Step 2: Convert to fraction form
    31,269.96/46,905.02 = 7,896.20/x
  3. Step 3: Cross multiply
    31,269.96x = 46,905.02 × 7,896.20
  4. Step 4: Simplify right side
    31,269.96x = 370,371,418.92
  5. Step 5: Solve for x
    x = 370,371,418.92/31,269.96
  6. Step 6: Final answer
    x = 11,844.32

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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.